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Finding the Fourth Proportional to 4,168.65, 5,754.19 and 2,400.96

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Solution

The fourth proportional to 4,168.65, 5,754.19 and 2,400.96 is: 3,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.65 : 5,754.19 = 2,400.96 : x
  2. Step 2: Convert to fraction form
    4,168.65/5,754.19 = 2,400.96/x
  3. Step 3: Cross multiply
    4,168.65x = 5,754.19 × 2,400.96
  4. Step 4: Simplify right side
    4,168.65x = 13,815,600.10
  5. Step 5: Solve for x
    x = 13,815,600.10/4,168.65
  6. Step 6: Final answer
    x = 3,314.16

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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.