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Finding the Fourth Proportional to 5,124.31, 7,684.84 and 1,660.75

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Solution

The fourth proportional to 5,124.31, 7,684.84 and 1,660.75 is: 2,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.31 : 7,684.84 = 1,660.75 : x
  2. Step 2: Convert to fraction form
    5,124.31/7,684.84 = 1,660.75/x
  3. Step 3: Cross multiply
    5,124.31x = 7,684.84 × 1,660.75
  4. Step 4: Simplify right side
    5,124.31x = 12,762,598.03
  5. Step 5: Solve for x
    x = 12,762,598.03/5,124.31
  6. Step 6: Final answer
    x = 2,490.60

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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.