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Finding the Fourth Proportional to 4,169.14, 5,752.01 and 2,400.71

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Solution

The fourth proportional to 4,169.14, 5,752.01 and 2,400.71 is: 3,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.14 : 5,752.01 = 2,400.71 : x
  2. Step 2: Convert to fraction form
    4,169.14/5,752.01 = 2,400.71/x
  3. Step 3: Cross multiply
    4,169.14x = 5,752.01 × 2,400.71
  4. Step 4: Simplify right side
    4,169.14x = 13,808,885.17
  5. Step 5: Solve for x
    x = 13,808,885.17/4,169.14
  6. Step 6: Final answer
    x = 3,312.17

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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.