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Finding the Fourth Proportional to 3,608.48, 5,411.90 and 1,658.81

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Solution

The fourth proportional to 3,608.48, 5,411.90 and 1,658.81 is: 2,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.48 : 5,411.90 = 1,658.81 : x
  2. Step 2: Convert to fraction form
    3,608.48/5,411.90 = 1,658.81/x
  3. Step 3: Cross multiply
    3,608.48x = 5,411.90 × 1,658.81
  4. Step 4: Simplify right side
    3,608.48x = 8,977,278.49
  5. Step 5: Solve for x
    x = 8,977,278.49/3,608.48
  6. Step 6: Final answer
    x = 2,487.83

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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.