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Finding the Fourth Proportional to 5,773.50, 7,963.56 and 4,282.74

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Solution

The fourth proportional to 5,773.50, 7,963.56 and 4,282.74 is: 5,907.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.50 : 7,963.56 = 4,282.74 : x
  2. Step 2: Convert to fraction form
    5,773.50/7,963.56 = 4,282.74/x
  3. Step 3: Cross multiply
    5,773.50x = 7,963.56 × 4,282.74
  4. Step 4: Simplify right side
    5,773.50x = 34,105,856.95
  5. Step 5: Solve for x
    x = 34,105,856.95/5,773.50
  6. Step 6: Final answer
    x = 5,907.31

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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.