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Finding the Fourth Proportional to 3,367.89, 5,053.05 and 1,421.46

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Solution

The fourth proportional to 3,367.89, 5,053.05 and 1,421.46 is: 2,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.89 : 5,053.05 = 1,421.46 : x
  2. Step 2: Convert to fraction form
    3,367.89/5,053.05 = 1,421.46/x
  3. Step 3: Cross multiply
    3,367.89x = 5,053.05 × 1,421.46
  4. Step 4: Simplify right side
    3,367.89x = 7,182,708.45
  5. Step 5: Solve for x
    x = 7,182,708.45/3,367.89
  6. Step 6: Final answer
    x = 2,132.70

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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.