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Finding the Fourth Proportional to 3,286.12, 4,929.18 and 977.62

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Solution

The fourth proportional to 3,286.12, 4,929.18 and 977.62 is: 1,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.12 : 4,929.18 = 977.62 : x
  2. Step 2: Convert to fraction form
    3,286.12/4,929.18 = 977.62/x
  3. Step 3: Cross multiply
    3,286.12x = 4,929.18 × 977.62
  4. Step 4: Simplify right side
    3,286.12x = 4,818,864.95
  5. Step 5: Solve for x
    x = 4,818,864.95/3,286.12
  6. Step 6: Final answer
    x = 1,466.43

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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.