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Finding the Fourth Proportional to 5,693.90, 8,542.67 and 4,767.26

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Solution

The fourth proportional to 5,693.90, 8,542.67 and 4,767.26 is: 7,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.90 : 8,542.67 = 4,767.26 : x
  2. Step 2: Convert to fraction form
    5,693.90/8,542.67 = 4,767.26/x
  3. Step 3: Cross multiply
    5,693.90x = 8,542.67 × 4,767.26
  4. Step 4: Simplify right side
    5,693.90x = 40,725,062.43
  5. Step 5: Solve for x
    x = 40,725,062.43/5,693.90
  6. Step 6: Final answer
    x = 7,152.41

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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.