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Finding the Fourth Proportional to 3,720.06, 5,580.16 and 1,744.61

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Solution

The fourth proportional to 3,720.06, 5,580.16 and 1,744.61 is: 2,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.06 : 5,580.16 = 1,744.61 : x
  2. Step 2: Convert to fraction form
    3,720.06/5,580.16 = 1,744.61/x
  3. Step 3: Cross multiply
    3,720.06x = 5,580.16 × 1,744.61
  4. Step 4: Simplify right side
    3,720.06x = 9,735,166.31
  5. Step 5: Solve for x
    x = 9,735,166.31/3,720.06
  6. Step 6: Final answer
    x = 2,616.94

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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.