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Finding the Fourth Proportional to 3,423.47, 5,135.49 and 1,343.61

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Solution

The fourth proportional to 3,423.47, 5,135.49 and 1,343.61 is: 2,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.47 : 5,135.49 = 1,343.61 : x
  2. Step 2: Convert to fraction form
    3,423.47/5,135.49 = 1,343.61/x
  3. Step 3: Cross multiply
    3,423.47x = 5,135.49 × 1,343.61
  4. Step 4: Simplify right side
    3,423.47x = 6,900,095.72
  5. Step 5: Solve for x
    x = 6,900,095.72/3,423.47
  6. Step 6: Final answer
    x = 2,015.53

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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.