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Finding the Fourth Proportional to 3,720.50, 5,580.68 and 3,139.22

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Solution

The fourth proportional to 3,720.50, 5,580.68 and 3,139.22 is: 4,708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.50 : 5,580.68 = 3,139.22 : x
  2. Step 2: Convert to fraction form
    3,720.50/5,580.68 = 3,139.22/x
  3. Step 3: Cross multiply
    3,720.50x = 5,580.68 × 3,139.22
  4. Step 4: Simplify right side
    3,720.50x = 17,518,938.67
  5. Step 5: Solve for x
    x = 17,518,938.67/3,720.50
  6. Step 6: Final answer
    x = 4,708.77

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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.