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Finding the Fourth Proportional to 5,217.56, 7,822.88 and 2,878.68

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Solution

The fourth proportional to 5,217.56, 7,822.88 and 2,878.68 is: 4,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.56 : 7,822.88 = 2,878.68 : x
  2. Step 2: Convert to fraction form
    5,217.56/7,822.88 = 2,878.68/x
  3. Step 3: Cross multiply
    5,217.56x = 7,822.88 × 2,878.68
  4. Step 4: Simplify right side
    5,217.56x = 22,519,553.81
  5. Step 5: Solve for x
    x = 22,519,553.81/5,217.56
  6. Step 6: Final answer
    x = 4,316.11

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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.