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Finding the Fourth Proportional to 3,301, 4,952.35 and 2,433.83

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Solution

The fourth proportional to 3,301, 4,952.35 and 2,433.83 is: 3,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301 : 4,952.35 = 2,433.83 : x
  2. Step 2: Convert to fraction form
    3,301/4,952.35 = 2,433.83/x
  3. Step 3: Cross multiply
    3,301x = 4,952.35 × 2,433.83
  4. Step 4: Simplify right side
    3,301x = 12,053,178.00
  5. Step 5: Solve for x
    x = 12,053,178.00/3,301
  6. Step 6: Final answer
    x = 3,651.37

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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.