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Finding the Fourth Proportional to 4,339, 6,508.68 and 1,261

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Solution

The fourth proportional to 4,339, 6,508.68 and 1,261 is: 1,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339 : 6,508.68 = 1,261 : x
  2. Step 2: Convert to fraction form
    4,339/6,508.68 = 1,261/x
  3. Step 3: Cross multiply
    4,339x = 6,508.68 × 1,261
  4. Step 4: Simplify right side
    4,339x = 8,207,445.48
  5. Step 5: Solve for x
    x = 8,207,445.48/4,339
  6. Step 6: Final answer
    x = 1,891.55

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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.