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Finding the Fourth Proportional to 4,345.71, 6,514.17 and 1,711.50

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Solution

The fourth proportional to 4,345.71, 6,514.17 and 1,711.50 is: 2,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,345.71 : 6,514.17 = 1,711.50 : x
  2. Step 2: Convert to fraction form
    4,345.71/6,514.17 = 1,711.50/x
  3. Step 3: Cross multiply
    4,345.71x = 6,514.17 × 1,711.50
  4. Step 4: Simplify right side
    4,345.71x = 11,149,001.96
  5. Step 5: Solve for x
    x = 11,149,001.96/4,345.71
  6. Step 6: Final answer
    x = 2,565.52

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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.