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Finding the Fourth Proportional to 5,355.69, 8,034.32 and 1,658.21

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Solution

The fourth proportional to 5,355.69, 8,034.32 and 1,658.21 is: 2,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.69 : 8,034.32 = 1,658.21 : x
  2. Step 2: Convert to fraction form
    5,355.69/8,034.32 = 1,658.21/x
  3. Step 3: Cross multiply
    5,355.69x = 8,034.32 × 1,658.21
  4. Step 4: Simplify right side
    5,355.69x = 13,322,541.30
  5. Step 5: Solve for x
    x = 13,322,541.30/5,355.69
  6. Step 6: Final answer
    x = 2,487.55

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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.