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Finding the Fourth Proportional to 3,718.26, 5,574.06 and 1,411.38

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Solution

The fourth proportional to 3,718.26, 5,574.06 and 1,411.38 is: 2,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.26 : 5,574.06 = 1,411.38 : x
  2. Step 2: Convert to fraction form
    3,718.26/5,574.06 = 1,411.38/x
  3. Step 3: Cross multiply
    3,718.26x = 5,574.06 × 1,411.38
  4. Step 4: Simplify right side
    3,718.26x = 7,867,116.80
  5. Step 5: Solve for x
    x = 7,867,116.80/3,718.26
  6. Step 6: Final answer
    x = 2,115.81

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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.