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Finding the Fourth Proportional to 5,356.20, 8,034.90 and 1,658.40

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Solution

The fourth proportional to 5,356.20, 8,034.90 and 1,658.40 is: 2,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.20 : 8,034.90 = 1,658.40 : x
  2. Step 2: Convert to fraction form
    5,356.20/8,034.90 = 1,658.40/x
  3. Step 3: Cross multiply
    5,356.20x = 8,034.90 × 1,658.40
  4. Step 4: Simplify right side
    5,356.20x = 13,325,078.16
  5. Step 5: Solve for x
    x = 13,325,078.16/5,356.20
  6. Step 6: Final answer
    x = 2,487.79

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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.