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Finding the Fourth Proportional to 3,743.52, 5,612.23 and 1,402.21

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Solution

The fourth proportional to 3,743.52, 5,612.23 and 1,402.21 is: 2,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.52 : 5,612.23 = 1,402.21 : x
  2. Step 2: Convert to fraction form
    3,743.52/5,612.23 = 1,402.21/x
  3. Step 3: Cross multiply
    3,743.52x = 5,612.23 × 1,402.21
  4. Step 4: Simplify right side
    3,743.52x = 7,869,525.03
  5. Step 5: Solve for x
    x = 7,869,525.03/3,743.52
  6. Step 6: Final answer
    x = 2,102.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.