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Finding the Fourth Proportional to 5,160.85, 7,737.55 and 4,174.88

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Solution

The fourth proportional to 5,160.85, 7,737.55 and 4,174.88 is: 6,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.85 : 7,737.55 = 4,174.88 : x
  2. Step 2: Convert to fraction form
    5,160.85/7,737.55 = 4,174.88/x
  3. Step 3: Cross multiply
    5,160.85x = 7,737.55 × 4,174.88
  4. Step 4: Simplify right side
    5,160.85x = 32,303,293.62
  5. Step 5: Solve for x
    x = 32,303,293.62/5,160.85
  6. Step 6: Final answer
    x = 6,259.30

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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.