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Finding the Fourth Proportional to 3,346.20, 5,014.92 and 1,588.92

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Solution

The fourth proportional to 3,346.20, 5,014.92 and 1,588.92 is: 2,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.20 : 5,014.92 = 1,588.92 : x
  2. Step 2: Convert to fraction form
    3,346.20/5,014.92 = 1,588.92/x
  3. Step 3: Cross multiply
    3,346.20x = 5,014.92 × 1,588.92
  4. Step 4: Simplify right side
    3,346.20x = 7,968,306.69
  5. Step 5: Solve for x
    x = 7,968,306.69/3,346.20
  6. Step 6: Final answer
    x = 2,381.30

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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.