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Finding the Fourth Proportional to 4,649,063.54, 6,409,544.25 and 3,819,019.11

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Solution

The fourth proportional to 4,649,063.54, 6,409,544.25 and 3,819,019.11 is: 5,265,183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649,063.54 : 6,409,544.25 = 3,819,019.11 : x
  2. Step 2: Convert to fraction form
    4,649,063.54/6,409,544.25 = 3,819,019.11/x
  3. Step 3: Cross multiply
    4,649,063.54x = 6,409,544.25 × 3,819,019.11
  4. Step 4: Simplify right side
    4,649,063.54x = 24,478,171,977,140.62
  5. Step 5: Solve for x
    x = 24,478,171,977,140.62/4,649,063.54
  6. Step 6: Final answer
    x = 5,265,183.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.