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Finding the Fourth Proportional to 5,898.60, 8,142.56 and 3,912.08

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Solution

The fourth proportional to 5,898.60, 8,142.56 and 3,912.08 is: 5,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.60 : 8,142.56 = 3,912.08 : x
  2. Step 2: Convert to fraction form
    5,898.60/8,142.56 = 3,912.08/x
  3. Step 3: Cross multiply
    5,898.60x = 8,142.56 × 3,912.08
  4. Step 4: Simplify right side
    5,898.60x = 31,854,300.52
  5. Step 5: Solve for x
    x = 31,854,300.52/5,898.60
  6. Step 6: Final answer
    x = 5,400.32

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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.