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Finding the Fourth Proportional to 3,718.25, 5,574.06 and 1,411.37

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Solution

The fourth proportional to 3,718.25, 5,574.06 and 1,411.37 is: 2,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.25 : 5,574.06 = 1,411.37 : x
  2. Step 2: Convert to fraction form
    3,718.25/5,574.06 = 1,411.37/x
  3. Step 3: Cross multiply
    3,718.25x = 5,574.06 × 1,411.37
  4. Step 4: Simplify right side
    3,718.25x = 7,867,033.19
  5. Step 5: Solve for x
    x = 7,867,033.19/3,718.25
  6. Step 6: Final answer
    x = 2,115.79

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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.