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Finding the Fourth Proportional to 5,356.28, 8,034.80 and 1,658.03

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Solution

The fourth proportional to 5,356.28, 8,034.80 and 1,658.03 is: 2,487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.28 : 8,034.80 = 1,658.03 : x
  2. Step 2: Convert to fraction form
    5,356.28/8,034.80 = 1,658.03/x
  3. Step 3: Cross multiply
    5,356.28x = 8,034.80 × 1,658.03
  4. Step 4: Simplify right side
    5,356.28x = 13,321,897.20
  5. Step 5: Solve for x
    x = 13,321,897.20/5,356.28
  6. Step 6: Final answer
    x = 2,487.15

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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.