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Finding the Fourth Proportional to 3,420.68, 5,129.48 and 1,572.39

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Solution

The fourth proportional to 3,420.68, 5,129.48 and 1,572.39 is: 2,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.68 : 5,129.48 = 1,572.39 : x
  2. Step 2: Convert to fraction form
    3,420.68/5,129.48 = 1,572.39/x
  3. Step 3: Cross multiply
    3,420.68x = 5,129.48 × 1,572.39
  4. Step 4: Simplify right side
    3,420.68x = 8,065,546.99
  5. Step 5: Solve for x
    x = 8,065,546.99/3,420.68
  6. Step 6: Final answer
    x = 2,357.88

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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.