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Finding the Fourth Proportional to 5,731.50, 7,912.35 and 5,385.90

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Solution

The fourth proportional to 5,731.50, 7,912.35 and 5,385.90 is: 7,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.50 : 7,912.35 = 5,385.90 : x
  2. Step 2: Convert to fraction form
    5,731.50/7,912.35 = 5,385.90/x
  3. Step 3: Cross multiply
    5,731.50x = 7,912.35 × 5,385.90
  4. Step 4: Simplify right side
    5,731.50x = 42,615,125.87
  5. Step 5: Solve for x
    x = 42,615,125.87/5,731.50
  6. Step 6: Final answer
    x = 7,435.25

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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.