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Finding the Fourth Proportional to 4,179.64, 6,270.18 and 1,257.52

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Solution

The fourth proportional to 4,179.64, 6,270.18 and 1,257.52 is: 1,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.64 : 6,270.18 = 1,257.52 : x
  2. Step 2: Convert to fraction form
    4,179.64/6,270.18 = 1,257.52/x
  3. Step 3: Cross multiply
    4,179.64x = 6,270.18 × 1,257.52
  4. Step 4: Simplify right side
    4,179.64x = 7,884,876.75
  5. Step 5: Solve for x
    x = 7,884,876.75/4,179.64
  6. Step 6: Final answer
    x = 1,886.50

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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.