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Finding the Fourth Proportional to 4,863.52, 7,296.24 and 1,785.76

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Solution

The fourth proportional to 4,863.52, 7,296.24 and 1,785.76 is: 2,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.52 : 7,296.24 = 1,785.76 : x
  2. Step 2: Convert to fraction form
    4,863.52/7,296.24 = 1,785.76/x
  3. Step 3: Cross multiply
    4,863.52x = 7,296.24 × 1,785.76
  4. Step 4: Simplify right side
    4,863.52x = 13,029,333.54
  5. Step 5: Solve for x
    x = 13,029,333.54/4,863.52
  6. Step 6: Final answer
    x = 2,678.99

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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.