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Finding the Fourth Proportional to 4,854.68, 7,265.28 and 2,979.32

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Solution

The fourth proportional to 4,854.68, 7,265.28 and 2,979.32 is: 4,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.68 : 7,265.28 = 2,979.32 : x
  2. Step 2: Convert to fraction form
    4,854.68/7,265.28 = 2,979.32/x
  3. Step 3: Cross multiply
    4,854.68x = 7,265.28 × 2,979.32
  4. Step 4: Simplify right side
    4,854.68x = 21,645,594.01
  5. Step 5: Solve for x
    x = 21,645,594.01/4,854.68
  6. Step 6: Final answer
    x = 4,458.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.