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Finding the Fourth Proportional to 5,092.74, 7,645.86 and 4,281.12

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Solution

The fourth proportional to 5,092.74, 7,645.86 and 4,281.12 is: 6,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.74 : 7,645.86 = 4,281.12 : x
  2. Step 2: Convert to fraction form
    5,092.74/7,645.86 = 4,281.12/x
  3. Step 3: Cross multiply
    5,092.74x = 7,645.86 × 4,281.12
  4. Step 4: Simplify right side
    5,092.74x = 32,732,844.16
  5. Step 5: Solve for x
    x = 32,732,844.16/5,092.74
  6. Step 6: Final answer
    x = 6,427.35

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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.