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Finding the Fourth Proportional to 5,358.53, 8,038.15 and 1,660.46

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Solution

The fourth proportional to 5,358.53, 8,038.15 and 1,660.46 is: 2,490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.53 : 8,038.15 = 1,660.46 : x
  2. Step 2: Convert to fraction form
    5,358.53/8,038.15 = 1,660.46/x
  3. Step 3: Cross multiply
    5,358.53x = 8,038.15 × 1,660.46
  4. Step 4: Simplify right side
    5,358.53x = 13,346,982.21
  5. Step 5: Solve for x
    x = 13,346,982.21/5,358.53
  6. Step 6: Final answer
    x = 2,490.79

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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.