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Finding the Fourth Proportional to 3,089.32, 4,628.18 and 1,836.20

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Solution

The fourth proportional to 3,089.32, 4,628.18 and 1,836.20 is: 2,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.32 : 4,628.18 = 1,836.20 : x
  2. Step 2: Convert to fraction form
    3,089.32/4,628.18 = 1,836.20/x
  3. Step 3: Cross multiply
    3,089.32x = 4,628.18 × 1,836.20
  4. Step 4: Simplify right side
    3,089.32x = 8,498,264.12
  5. Step 5: Solve for x
    x = 8,498,264.12/3,089.32
  6. Step 6: Final answer
    x = 2,750.85

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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.