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Finding the Fourth Proportional to 3,418.32, 5,124.54 and 1,337.82

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Solution

The fourth proportional to 3,418.32, 5,124.54 and 1,337.82 is: 2,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.32 : 5,124.54 = 1,337.82 : x
  2. Step 2: Convert to fraction form
    3,418.32/5,124.54 = 1,337.82/x
  3. Step 3: Cross multiply
    3,418.32x = 5,124.54 × 1,337.82
  4. Step 4: Simplify right side
    3,418.32x = 6,855,712.10
  5. Step 5: Solve for x
    x = 6,855,712.10/3,418.32
  6. Step 6: Final answer
    x = 2,005.58

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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.