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Finding the Fourth Proportional to 3,443.50, 4,764.54 and 3,002.32

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Solution

The fourth proportional to 3,443.50, 4,764.54 and 3,002.32 is: 4,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.50 : 4,764.54 = 3,002.32 : x
  2. Step 2: Convert to fraction form
    3,443.50/4,764.54 = 3,002.32/x
  3. Step 3: Cross multiply
    3,443.50x = 4,764.54 × 3,002.32
  4. Step 4: Simplify right side
    3,443.50x = 14,304,673.73
  5. Step 5: Solve for x
    x = 14,304,673.73/3,443.50
  6. Step 6: Final answer
    x = 4,154.11

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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.