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Finding the Fourth Proportional to 4,172.80, 5,758.13 and 2,404.55

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Solution

The fourth proportional to 4,172.80, 5,758.13 and 2,404.55 is: 3,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.80 : 5,758.13 = 2,404.55 : x
  2. Step 2: Convert to fraction form
    4,172.80/5,758.13 = 2,404.55/x
  3. Step 3: Cross multiply
    4,172.80x = 5,758.13 × 2,404.55
  4. Step 4: Simplify right side
    4,172.80x = 13,845,688.71
  5. Step 5: Solve for x
    x = 13,845,688.71/4,172.80
  6. Step 6: Final answer
    x = 3,318.08

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