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Finding the Fourth Proportional to 5,731.29, 8,635.98 and 4,714.08

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Solution

The fourth proportional to 5,731.29, 8,635.98 and 4,714.08 is: 7,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.29 : 8,635.98 = 4,714.08 : x
  2. Step 2: Convert to fraction form
    5,731.29/8,635.98 = 4,714.08/x
  3. Step 3: Cross multiply
    5,731.29x = 8,635.98 × 4,714.08
  4. Step 4: Simplify right side
    5,731.29x = 40,710,700.60
  5. Step 5: Solve for x
    x = 40,710,700.60/5,731.29
  6. Step 6: Final answer
    x = 7,103.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.