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Finding the Fourth Proportional to 5,866, 8,098.68 and 3,773.84

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Solution

The fourth proportional to 5,866, 8,098.68 and 3,773.84 is: 5,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866 : 8,098.68 = 3,773.84 : x
  2. Step 2: Convert to fraction form
    5,866/8,098.68 = 3,773.84/x
  3. Step 3: Cross multiply
    5,866x = 8,098.68 × 3,773.84
  4. Step 4: Simplify right side
    5,866x = 30,563,122.53
  5. Step 5: Solve for x
    x = 30,563,122.53/5,866
  6. Step 6: Final answer
    x = 5,210.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.