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Finding the Fourth Proportional to 5,462.34, 8,193.53 and 1,358.34

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Solution

The fourth proportional to 5,462.34, 8,193.53 and 1,358.34 is: 2,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.34 : 8,193.53 = 1,358.34 : x
  2. Step 2: Convert to fraction form
    5,462.34/8,193.53 = 1,358.34/x
  3. Step 3: Cross multiply
    5,462.34x = 8,193.53 × 1,358.34
  4. Step 4: Simplify right side
    5,462.34x = 11,129,592.75
  5. Step 5: Solve for x
    x = 11,129,592.75/5,462.34
  6. Step 6: Final answer
    x = 2,037.51

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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.