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Finding the Fourth Proportional to 5,870.97, 8,102.24 and 3,218.49

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Solution

The fourth proportional to 5,870.97, 8,102.24 and 3,218.49 is: 4,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.97 : 8,102.24 = 3,218.49 : x
  2. Step 2: Convert to fraction form
    5,870.97/8,102.24 = 3,218.49/x
  3. Step 3: Cross multiply
    5,870.97x = 8,102.24 × 3,218.49
  4. Step 4: Simplify right side
    5,870.97x = 26,076,937.91
  5. Step 5: Solve for x
    x = 26,076,937.91/5,870.97
  6. Step 6: Final answer
    x = 4,441.68

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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.