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Finding the Fourth Proportional to 5,311.60, 7,957.80 and 4,332.40

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Solution

The fourth proportional to 5,311.60, 7,957.80 and 4,332.40 is: 6,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.60 : 7,957.80 = 4,332.40 : x
  2. Step 2: Convert to fraction form
    5,311.60/7,957.80 = 4,332.40/x
  3. Step 3: Cross multiply
    5,311.60x = 7,957.80 × 4,332.40
  4. Step 4: Simplify right side
    5,311.60x = 34,476,372.72
  5. Step 5: Solve for x
    x = 34,476,372.72/5,311.60
  6. Step 6: Final answer
    x = 6,490.77

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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.