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Finding the Fourth Proportional to 3,306.40, 4,952.40 and 2,570.20

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Solution

The fourth proportional to 3,306.40, 4,952.40 and 2,570.20 is: 3,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.40 : 4,952.40 = 2,570.20 : x
  2. Step 2: Convert to fraction form
    3,306.40/4,952.40 = 2,570.20/x
  3. Step 3: Cross multiply
    3,306.40x = 4,952.40 × 2,570.20
  4. Step 4: Simplify right side
    3,306.40x = 12,728,658.48
  5. Step 5: Solve for x
    x = 12,728,658.48/3,306.40
  6. Step 6: Final answer
    x = 3,849.70

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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.