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Finding the Fourth Proportional to 5,898.75, 8,135.42 and 3,539.22

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Solution

The fourth proportional to 5,898.75, 8,135.42 and 3,539.22 is: 4,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.75 : 8,135.42 = 3,539.22 : x
  2. Step 2: Convert to fraction form
    5,898.75/8,135.42 = 3,539.22/x
  3. Step 3: Cross multiply
    5,898.75x = 8,135.42 × 3,539.22
  4. Step 4: Simplify right side
    5,898.75x = 28,793,023.48
  5. Step 5: Solve for x
    x = 28,793,023.48/5,898.75
  6. Step 6: Final answer
    x = 4,881.21

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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.