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Finding the Fourth Proportional to 3,411.38, 5,117.06 and 1,360.82

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Solution

The fourth proportional to 3,411.38, 5,117.06 and 1,360.82 is: 2,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.38 : 5,117.06 = 1,360.82 : x
  2. Step 2: Convert to fraction form
    3,411.38/5,117.06 = 1,360.82/x
  3. Step 3: Cross multiply
    3,411.38x = 5,117.06 × 1,360.82
  4. Step 4: Simplify right side
    3,411.38x = 6,963,375.41
  5. Step 5: Solve for x
    x = 6,963,375.41/3,411.38
  6. Step 6: Final answer
    x = 2,041.22

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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.