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Finding the Fourth Proportional to 3,585.31, 5,382.07 and 2,127.54

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Solution

The fourth proportional to 3,585.31, 5,382.07 and 2,127.54 is: 3,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.31 : 5,382.07 = 2,127.54 : x
  2. Step 2: Convert to fraction form
    3,585.31/5,382.07 = 2,127.54/x
  3. Step 3: Cross multiply
    3,585.31x = 5,382.07 × 2,127.54
  4. Step 4: Simplify right side
    3,585.31x = 11,450,574.92
  5. Step 5: Solve for x
    x = 11,450,574.92/3,585.31
  6. Step 6: Final answer
    x = 3,193.74

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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.