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Finding the Fourth Proportional to 3,437.43, 5,152.59 and 1,354.61

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Solution

The fourth proportional to 3,437.43, 5,152.59 and 1,354.61 is: 2,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.43 : 5,152.59 = 1,354.61 : x
  2. Step 2: Convert to fraction form
    3,437.43/5,152.59 = 1,354.61/x
  3. Step 3: Cross multiply
    3,437.43x = 5,152.59 × 1,354.61
  4. Step 4: Simplify right side
    3,437.43x = 6,979,749.94
  5. Step 5: Solve for x
    x = 6,979,749.94/3,437.43
  6. Step 6: Final answer
    x = 2,030.51

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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.