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Finding the Fourth Proportional to 4,031, 5,562.80 and 2,353.56

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Solution

The fourth proportional to 4,031, 5,562.80 and 2,353.56 is: 3,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031 : 5,562.80 = 2,353.56 : x
  2. Step 2: Convert to fraction form
    4,031/5,562.80 = 2,353.56/x
  3. Step 3: Cross multiply
    4,031x = 5,562.80 × 2,353.56
  4. Step 4: Simplify right side
    4,031x = 13,092,383.57
  5. Step 5: Solve for x
    x = 13,092,383.57/4,031
  6. Step 6: Final answer
    x = 3,247.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.