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Finding the Fourth Proportional to 5,490.55, 8,234.93 and 1,542.08

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Solution

The fourth proportional to 5,490.55, 8,234.93 and 1,542.08 is: 2,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.55 : 8,234.93 = 1,542.08 : x
  2. Step 2: Convert to fraction form
    5,490.55/8,234.93 = 1,542.08/x
  3. Step 3: Cross multiply
    5,490.55x = 8,234.93 × 1,542.08
  4. Step 4: Simplify right side
    5,490.55x = 12,698,871.97
  5. Step 5: Solve for x
    x = 12,698,871.97/5,490.55
  6. Step 6: Final answer
    x = 2,312.86

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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.