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Finding the Fourth Proportional to 3,233.90, 4,854.45 and 3,022.40

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Solution

The fourth proportional to 3,233.90, 4,854.45 and 3,022.40 is: 4,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.90 : 4,854.45 = 3,022.40 : x
  2. Step 2: Convert to fraction form
    3,233.90/4,854.45 = 3,022.40/x
  3. Step 3: Cross multiply
    3,233.90x = 4,854.45 × 3,022.40
  4. Step 4: Simplify right side
    3,233.90x = 14,672,089.68
  5. Step 5: Solve for x
    x = 14,672,089.68/3,233.90
  6. Step 6: Final answer
    x = 4,536.96

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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.