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Finding the Fourth Proportional to 3,864.66, 5,329.31 and 3,306.98

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Solution

The fourth proportional to 3,864.66, 5,329.31 and 3,306.98 is: 4,560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.66 : 5,329.31 = 3,306.98 : x
  2. Step 2: Convert to fraction form
    3,864.66/5,329.31 = 3,306.98/x
  3. Step 3: Cross multiply
    3,864.66x = 5,329.31 × 3,306.98
  4. Step 4: Simplify right side
    3,864.66x = 17,623,878.40
  5. Step 5: Solve for x
    x = 17,623,878.40/3,864.66
  6. Step 6: Final answer
    x = 4,560.27

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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.