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Finding the Fourth Proportional to 5,098.25, 7,035.16 and 2,859.82

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Solution

The fourth proportional to 5,098.25, 7,035.16 and 2,859.82 is: 3,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.25 : 7,035.16 = 2,859.82 : x
  2. Step 2: Convert to fraction form
    5,098.25/7,035.16 = 2,859.82/x
  3. Step 3: Cross multiply
    5,098.25x = 7,035.16 × 2,859.82
  4. Step 4: Simplify right side
    5,098.25x = 20,119,291.27
  5. Step 5: Solve for x
    x = 20,119,291.27/5,098.25
  6. Step 6: Final answer
    x = 3,946.31

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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.