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Finding the Fourth Proportional to 4,569.52, 6,853.76 and 1,282.74

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Solution

The fourth proportional to 4,569.52, 6,853.76 and 1,282.74 is: 1,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.52 : 6,853.76 = 1,282.74 : x
  2. Step 2: Convert to fraction form
    4,569.52/6,853.76 = 1,282.74/x
  3. Step 3: Cross multiply
    4,569.52x = 6,853.76 × 1,282.74
  4. Step 4: Simplify right side
    4,569.52x = 8,791,592.10
  5. Step 5: Solve for x
    x = 8,791,592.10/4,569.52
  6. Step 6: Final answer
    x = 1,923.96

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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.