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Finding the Fourth Proportional to 4,168.29, 5,752.71 and 2,400.06

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Solution

The fourth proportional to 4,168.29, 5,752.71 and 2,400.06 is: 3,312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.29 : 5,752.71 = 2,400.06 : x
  2. Step 2: Convert to fraction form
    4,168.29/5,752.71 = 2,400.06/x
  3. Step 3: Cross multiply
    4,168.29x = 5,752.71 × 2,400.06
  4. Step 4: Simplify right side
    4,168.29x = 13,806,849.16
  5. Step 5: Solve for x
    x = 13,806,849.16/4,168.29
  6. Step 6: Final answer
    x = 3,312.35

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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.