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Finding the Fourth Proportional to 5,637.29, 8,456.75 and 1,742

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Solution

The fourth proportional to 5,637.29, 8,456.75 and 1,742 is: 2,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.29 : 8,456.75 = 1,742 : x
  2. Step 2: Convert to fraction form
    5,637.29/8,456.75 = 1,742/x
  3. Step 3: Cross multiply
    5,637.29x = 8,456.75 × 1,742
  4. Step 4: Simplify right side
    5,637.29x = 14,731,658.50
  5. Step 5: Solve for x
    x = 14,731,658.50/5,637.29
  6. Step 6: Final answer
    x = 2,613.25

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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.