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Finding the Fourth Proportional to 4,569.48, 6,856.82 and 2,489.40

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Solution

The fourth proportional to 4,569.48, 6,856.82 and 2,489.40 is: 3,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.48 : 6,856.82 = 2,489.40 : x
  2. Step 2: Convert to fraction form
    4,569.48/6,856.82 = 2,489.40/x
  3. Step 3: Cross multiply
    4,569.48x = 6,856.82 × 2,489.40
  4. Step 4: Simplify right side
    4,569.48x = 17,069,367.71
  5. Step 5: Solve for x
    x = 17,069,367.71/4,569.48
  6. Step 6: Final answer
    x = 3,735.52

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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.