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Finding the Fourth Proportional to 5,398.98, 8,102.79 and 2,802.66

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Solution

The fourth proportional to 5,398.98, 8,102.79 and 2,802.66 is: 4,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.98 : 8,102.79 = 2,802.66 : x
  2. Step 2: Convert to fraction form
    5,398.98/8,102.79 = 2,802.66/x
  3. Step 3: Cross multiply
    5,398.98x = 8,102.79 × 2,802.66
  4. Step 4: Simplify right side
    5,398.98x = 22,709,365.42
  5. Step 5: Solve for x
    x = 22,709,365.42/5,398.98
  6. Step 6: Final answer
    x = 4,206.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.