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Finding the Fourth Proportional to 3,306.81, 4,952.39 and 2,871.64

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Solution

The fourth proportional to 3,306.81, 4,952.39 and 2,871.64 is: 4,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.81 : 4,952.39 = 2,871.64 : x
  2. Step 2: Convert to fraction form
    3,306.81/4,952.39 = 2,871.64/x
  3. Step 3: Cross multiply
    3,306.81x = 4,952.39 × 2,871.64
  4. Step 4: Simplify right side
    3,306.81x = 14,221,461.35
  5. Step 5: Solve for x
    x = 14,221,461.35/3,306.81
  6. Step 6: Final answer
    x = 4,300.66

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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.