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Finding the Fourth Proportional to 3,981.84, 5,488.24 and 3,026.88

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Solution

The fourth proportional to 3,981.84, 5,488.24 and 3,026.88 is: 4,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.84 : 5,488.24 = 3,026.88 : x
  2. Step 2: Convert to fraction form
    3,981.84/5,488.24 = 3,026.88/x
  3. Step 3: Cross multiply
    3,981.84x = 5,488.24 × 3,026.88
  4. Step 4: Simplify right side
    3,981.84x = 16,612,243.89
  5. Step 5: Solve for x
    x = 16,612,243.89/3,981.84
  6. Step 6: Final answer
    x = 4,172.00

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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.