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Finding the Fourth Proportional to 5,732.61, 7,901.56 and 4,051.86

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Solution

The fourth proportional to 5,732.61, 7,901.56 and 4,051.86 is: 5,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.61 : 7,901.56 = 4,051.86 : x
  2. Step 2: Convert to fraction form
    5,732.61/7,901.56 = 4,051.86/x
  3. Step 3: Cross multiply
    5,732.61x = 7,901.56 × 4,051.86
  4. Step 4: Simplify right side
    5,732.61x = 32,016,014.90
  5. Step 5: Solve for x
    x = 32,016,014.90/5,732.61
  6. Step 6: Final answer
    x = 5,584.89

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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.