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Finding the Fourth Proportional to 5,854.26, 8,739.66 and 5,649.18

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Solution

The fourth proportional to 5,854.26, 8,739.66 and 5,649.18 is: 8,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.26 : 8,739.66 = 5,649.18 : x
  2. Step 2: Convert to fraction form
    5,854.26/8,739.66 = 5,649.18/x
  3. Step 3: Cross multiply
    5,854.26x = 8,739.66 × 5,649.18
  4. Step 4: Simplify right side
    5,854.26x = 49,371,912.48
  5. Step 5: Solve for x
    x = 49,371,912.48/5,854.26
  6. Step 6: Final answer
    x = 8,433.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.