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Finding the Fourth Proportional to 5,737.88, 8,606.88 and 1,842.30

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Solution

The fourth proportional to 5,737.88, 8,606.88 and 1,842.30 is: 2,763.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.88 : 8,606.88 = 1,842.30 : x
  2. Step 2: Convert to fraction form
    5,737.88/8,606.88 = 1,842.30/x
  3. Step 3: Cross multiply
    5,737.88x = 8,606.88 × 1,842.30
  4. Step 4: Simplify right side
    5,737.88x = 15,856,455.02
  5. Step 5: Solve for x
    x = 15,856,455.02/5,737.88
  6. Step 6: Final answer
    x = 2,763.47

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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.