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Finding the Fourth Proportional to 5,829.70, 8,026.41 and 5,432.26

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Solution

The fourth proportional to 5,829.70, 8,026.41 and 5,432.26 is: 7,479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.70 : 8,026.41 = 5,432.26 : x
  2. Step 2: Convert to fraction form
    5,829.70/8,026.41 = 5,432.26/x
  3. Step 3: Cross multiply
    5,829.70x = 8,026.41 × 5,432.26
  4. Step 4: Simplify right side
    5,829.70x = 43,601,545.99
  5. Step 5: Solve for x
    x = 43,601,545.99/5,829.70
  6. Step 6: Final answer
    x = 7,479.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.