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Finding the Fourth Proportional to 5,358.68, 8,037.40 and 1,462.76

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Solution

The fourth proportional to 5,358.68, 8,037.40 and 1,462.76 is: 2,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.68 : 8,037.40 = 1,462.76 : x
  2. Step 2: Convert to fraction form
    5,358.68/8,037.40 = 1,462.76/x
  3. Step 3: Cross multiply
    5,358.68x = 8,037.40 × 1,462.76
  4. Step 4: Simplify right side
    5,358.68x = 11,756,787.22
  5. Step 5: Solve for x
    x = 11,756,787.22/5,358.68
  6. Step 6: Final answer
    x = 2,193.97

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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.