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Finding the Fourth Proportional to 4,315.32, 6,478.20 and 2,855.76

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Solution

The fourth proportional to 4,315.32, 6,478.20 and 2,855.76 is: 4,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.32 : 6,478.20 = 2,855.76 : x
  2. Step 2: Convert to fraction form
    4,315.32/6,478.20 = 2,855.76/x
  3. Step 3: Cross multiply
    4,315.32x = 6,478.20 × 2,855.76
  4. Step 4: Simplify right side
    4,315.32x = 18,500,184.43
  5. Step 5: Solve for x
    x = 18,500,184.43/4,315.32
  6. Step 6: Final answer
    x = 4,287.09

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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.