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Finding the Fourth Proportional to 3,957.61, 5,938.70 and 1,494.16

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Solution

The fourth proportional to 3,957.61, 5,938.70 and 1,494.16 is: 2,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.61 : 5,938.70 = 1,494.16 : x
  2. Step 2: Convert to fraction form
    3,957.61/5,938.70 = 1,494.16/x
  3. Step 3: Cross multiply
    3,957.61x = 5,938.70 × 1,494.16
  4. Step 4: Simplify right side
    3,957.61x = 8,873,367.99
  5. Step 5: Solve for x
    x = 8,873,367.99/3,957.61
  6. Step 6: Final answer
    x = 2,242.10

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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.