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Finding the Fourth Proportional to 4,359.72, 6,538.86 and 1,281

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Solution

The fourth proportional to 4,359.72, 6,538.86 and 1,281 is: 1,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,359.72 : 6,538.86 = 1,281 : x
  2. Step 2: Convert to fraction form
    4,359.72/6,538.86 = 1,281/x
  3. Step 3: Cross multiply
    4,359.72x = 6,538.86 × 1,281
  4. Step 4: Simplify right side
    4,359.72x = 8,376,279.66
  5. Step 5: Solve for x
    x = 8,376,279.66/4,359.72
  6. Step 6: Final answer
    x = 1,921.29

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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.