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Finding the Fourth Proportional to 5,869.22, 8,782.86 and 5,098.31

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Solution

The fourth proportional to 5,869.22, 8,782.86 and 5,098.31 is: 7,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.22 : 8,782.86 = 5,098.31 : x
  2. Step 2: Convert to fraction form
    5,869.22/8,782.86 = 5,098.31/x
  3. Step 3: Cross multiply
    5,869.22x = 8,782.86 × 5,098.31
  4. Step 4: Simplify right side
    5,869.22x = 44,777,742.97
  5. Step 5: Solve for x
    x = 44,777,742.97/5,869.22
  6. Step 6: Final answer
    x = 7,629.25

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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.