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Finding the Fourth Proportional to 3,543.50, 4,878.87 and 3,011.33

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Solution

The fourth proportional to 3,543.50, 4,878.87 and 3,011.33 is: 4,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.50 : 4,878.87 = 3,011.33 : x
  2. Step 2: Convert to fraction form
    3,543.50/4,878.87 = 3,011.33/x
  3. Step 3: Cross multiply
    3,543.50x = 4,878.87 × 3,011.33
  4. Step 4: Simplify right side
    3,543.50x = 14,691,863.20
  5. Step 5: Solve for x
    x = 14,691,863.20/3,543.50
  6. Step 6: Final answer
    x = 4,146.15

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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.