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Finding the Fourth Proportional to 5,355.27, 8,034.12 and 1,657.38

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Solution

The fourth proportional to 5,355.27, 8,034.12 and 1,657.38 is: 2,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.27 : 8,034.12 = 1,657.38 : x
  2. Step 2: Convert to fraction form
    5,355.27/8,034.12 = 1,657.38/x
  3. Step 3: Cross multiply
    5,355.27x = 8,034.12 × 1,657.38
  4. Step 4: Simplify right side
    5,355.27x = 13,315,589.81
  5. Step 5: Solve for x
    x = 13,315,589.81/5,355.27
  6. Step 6: Final answer
    x = 2,486.45

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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.