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Finding the Fourth Proportional to 5,456.52, 7,527.87 and 3,098.34

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Solution

The fourth proportional to 5,456.52, 7,527.87 and 3,098.34 is: 4,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.52 : 7,527.87 = 3,098.34 : x
  2. Step 2: Convert to fraction form
    5,456.52/7,527.87 = 3,098.34/x
  3. Step 3: Cross multiply
    5,456.52x = 7,527.87 × 3,098.34
  4. Step 4: Simplify right side
    5,456.52x = 23,323,900.74
  5. Step 5: Solve for x
    x = 23,323,900.74/5,456.52
  6. Step 6: Final answer
    x = 4,274.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.