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Finding the Fourth Proportional to 4,419.39, 6,629.07 and 2,077.67

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Solution

The fourth proportional to 4,419.39, 6,629.07 and 2,077.67 is: 3,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,419.39 : 6,629.07 = 2,077.67 : x
  2. Step 2: Convert to fraction form
    4,419.39/6,629.07 = 2,077.67/x
  3. Step 3: Cross multiply
    4,419.39x = 6,629.07 × 2,077.67
  4. Step 4: Simplify right side
    4,419.39x = 13,773,019.87
  5. Step 5: Solve for x
    x = 13,773,019.87/4,419.39
  6. Step 6: Final answer
    x = 3,116.50

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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.