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Finding the Fourth Proportional to 5,575.40, 8,363.10 and 3,825.80

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Solution

The fourth proportional to 5,575.40, 8,363.10 and 3,825.80 is: 5,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575.40 : 8,363.10 = 3,825.80 : x
  2. Step 2: Convert to fraction form
    5,575.40/8,363.10 = 3,825.80/x
  3. Step 3: Cross multiply
    5,575.40x = 8,363.10 × 3,825.80
  4. Step 4: Simplify right side
    5,575.40x = 31,995,547.98
  5. Step 5: Solve for x
    x = 31,995,547.98/5,575.40
  6. Step 6: Final answer
    x = 5,738.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.