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Finding the Fourth Proportional to 5,721.17, 8,585 and 3,088.64

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Solution

The fourth proportional to 5,721.17, 8,585 and 3,088.64 is: 4,634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.17 : 8,585 = 3,088.64 : x
  2. Step 2: Convert to fraction form
    5,721.17/8,585 = 3,088.64/x
  3. Step 3: Cross multiply
    5,721.17x = 8,585 × 3,088.64
  4. Step 4: Simplify right side
    5,721.17x = 26,515,974.40
  5. Step 5: Solve for x
    x = 26,515,974.40/5,721.17
  6. Step 6: Final answer
    x = 4,634.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.