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Finding the Fourth Proportional to 3,762.06, 5,635.65 and 3,478.50

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Solution

The fourth proportional to 3,762.06, 5,635.65 and 3,478.50 is: 5,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.06 : 5,635.65 = 3,478.50 : x
  2. Step 2: Convert to fraction form
    3,762.06/5,635.65 = 3,478.50/x
  3. Step 3: Cross multiply
    3,762.06x = 5,635.65 × 3,478.50
  4. Step 4: Simplify right side
    3,762.06x = 19,603,608.53
  5. Step 5: Solve for x
    x = 19,603,608.53/3,762.06
  6. Step 6: Final answer
    x = 5,210.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.