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Finding the Fourth Proportional to 3,053.52, 4,579.76 and 861.86

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Solution

The fourth proportional to 3,053.52, 4,579.76 and 861.86 is: 1,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.52 : 4,579.76 = 861.86 : x
  2. Step 2: Convert to fraction form
    3,053.52/4,579.76 = 861.86/x
  3. Step 3: Cross multiply
    3,053.52x = 4,579.76 × 861.86
  4. Step 4: Simplify right side
    3,053.52x = 3,947,125.56
  5. Step 5: Solve for x
    x = 3,947,125.56/3,053.52
  6. Step 6: Final answer
    x = 1,292.65

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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.