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Finding the Fourth Proportional to 5,157.60, 7,729.92 and 2,384.16

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Solution

The fourth proportional to 5,157.60, 7,729.92 and 2,384.16 is: 3,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.60 : 7,729.92 = 2,384.16 : x
  2. Step 2: Convert to fraction form
    5,157.60/7,729.92 = 2,384.16/x
  3. Step 3: Cross multiply
    5,157.60x = 7,729.92 × 2,384.16
  4. Step 4: Simplify right side
    5,157.60x = 18,429,366.07
  5. Step 5: Solve for x
    x = 18,429,366.07/5,157.60
  6. Step 6: Final answer
    x = 3,573.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.