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Finding the Fourth Proportional to 5,509.74, 8,264.52 and 2,585.97

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Solution

The fourth proportional to 5,509.74, 8,264.52 and 2,585.97 is: 3,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.74 : 8,264.52 = 2,585.97 : x
  2. Step 2: Convert to fraction form
    5,509.74/8,264.52 = 2,585.97/x
  3. Step 3: Cross multiply
    5,509.74x = 8,264.52 × 2,585.97
  4. Step 4: Simplify right side
    5,509.74x = 21,371,800.78
  5. Step 5: Solve for x
    x = 21,371,800.78/5,509.74
  6. Step 6: Final answer
    x = 3,878.91

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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.