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Finding the Fourth Proportional to 5,898.89, 8,142.07 and 3,478.37

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Solution

The fourth proportional to 5,898.89, 8,142.07 and 3,478.37 is: 4,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.89 : 8,142.07 = 3,478.37 : x
  2. Step 2: Convert to fraction form
    5,898.89/8,142.07 = 3,478.37/x
  3. Step 3: Cross multiply
    5,898.89x = 8,142.07 × 3,478.37
  4. Step 4: Simplify right side
    5,898.89x = 28,321,082.62
  5. Step 5: Solve for x
    x = 28,321,082.62/5,898.89
  6. Step 6: Final answer
    x = 4,801.08

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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.