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Finding the Fourth Proportional to 4,877.52, 7,317 and 1,414.32

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Solution

The fourth proportional to 4,877.52, 7,317 and 1,414.32 is: 2,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.52 : 7,317 = 1,414.32 : x
  2. Step 2: Convert to fraction form
    4,877.52/7,317 = 1,414.32/x
  3. Step 3: Cross multiply
    4,877.52x = 7,317 × 1,414.32
  4. Step 4: Simplify right side
    4,877.52x = 10,348,579.44
  5. Step 5: Solve for x
    x = 10,348,579.44/4,877.52
  6. Step 6: Final answer
    x = 2,121.69

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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.