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Finding the Fourth Proportional to 3,744.02, 5,612.98 and 1,402.71

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Solution

The fourth proportional to 3,744.02, 5,612.98 and 1,402.71 is: 2,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.02 : 5,612.98 = 1,402.71 : x
  2. Step 2: Convert to fraction form
    3,744.02/5,612.98 = 1,402.71/x
  3. Step 3: Cross multiply
    3,744.02x = 5,612.98 × 1,402.71
  4. Step 4: Simplify right side
    3,744.02x = 7,873,383.18
  5. Step 5: Solve for x
    x = 7,873,383.18/3,744.02
  6. Step 6: Final answer
    x = 2,102.92

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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.