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Finding the Fourth Proportional to 3,428.70, 4,728.06 and 2,932.98

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Solution

The fourth proportional to 3,428.70, 4,728.06 and 2,932.98 is: 4,044.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.70 : 4,728.06 = 2,932.98 : x
  2. Step 2: Convert to fraction form
    3,428.70/4,728.06 = 2,932.98/x
  3. Step 3: Cross multiply
    3,428.70x = 4,728.06 × 2,932.98
  4. Step 4: Simplify right side
    3,428.70x = 13,867,281.78
  5. Step 5: Solve for x
    x = 13,867,281.78/3,428.70
  6. Step 6: Final answer
    x = 4,044.48

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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.