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Finding the Fourth Proportional to 5,885.14, 8,114.85 and 4,288.97

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Solution

The fourth proportional to 5,885.14, 8,114.85 and 4,288.97 is: 5,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.14 : 8,114.85 = 4,288.97 : x
  2. Step 2: Convert to fraction form
    5,885.14/8,114.85 = 4,288.97/x
  3. Step 3: Cross multiply
    5,885.14x = 8,114.85 × 4,288.97
  4. Step 4: Simplify right side
    5,885.14x = 34,804,348.20
  5. Step 5: Solve for x
    x = 34,804,348.20/5,885.14
  6. Step 6: Final answer
    x = 5,913.94

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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.