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Finding the Fourth Proportional to 4,947.38, 7,421.57 and 1,660.53

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Solution

The fourth proportional to 4,947.38, 7,421.57 and 1,660.53 is: 2,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.38 : 7,421.57 = 1,660.53 : x
  2. Step 2: Convert to fraction form
    4,947.38/7,421.57 = 1,660.53/x
  3. Step 3: Cross multiply
    4,947.38x = 7,421.57 × 1,660.53
  4. Step 4: Simplify right side
    4,947.38x = 12,323,739.63
  5. Step 5: Solve for x
    x = 12,323,739.63/4,947.38
  6. Step 6: Final answer
    x = 2,490.96

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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.