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Finding the Fourth Proportional to 3,609.66, 5,408.10 and 1,657.76

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Solution

The fourth proportional to 3,609.66, 5,408.10 and 1,657.76 is: 2,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.66 : 5,408.10 = 1,657.76 : x
  2. Step 2: Convert to fraction form
    3,609.66/5,408.10 = 1,657.76/x
  3. Step 3: Cross multiply
    3,609.66x = 5,408.10 × 1,657.76
  4. Step 4: Simplify right side
    3,609.66x = 8,965,304.82
  5. Step 5: Solve for x
    x = 8,965,304.82/3,609.66
  6. Step 6: Final answer
    x = 2,483.70

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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.