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Finding the Fourth Proportional to 5,787.91, 8,668.00 and 5,497.28

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Solution

The fourth proportional to 5,787.91, 8,668.00 and 5,497.28 is: 8,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.91 : 8,668.00 = 5,497.28 : x
  2. Step 2: Convert to fraction form
    5,787.91/8,668.00 = 5,497.28/x
  3. Step 3: Cross multiply
    5,787.91x = 8,668.00 × 5,497.28
  4. Step 4: Simplify right side
    5,787.91x = 47,650,352.21
  5. Step 5: Solve for x
    x = 47,650,352.21/5,787.91
  6. Step 6: Final answer
    x = 8,232.75

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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.