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Finding the Fourth Proportional to 4,162.81, 6,242.13 and 2,315.20

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Solution

The fourth proportional to 4,162.81, 6,242.13 and 2,315.20 is: 3,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.81 : 6,242.13 = 2,315.20 : x
  2. Step 2: Convert to fraction form
    4,162.81/6,242.13 = 2,315.20/x
  3. Step 3: Cross multiply
    4,162.81x = 6,242.13 × 2,315.20
  4. Step 4: Simplify right side
    4,162.81x = 14,451,779.38
  5. Step 5: Solve for x
    x = 14,451,779.38/4,162.81
  6. Step 6: Final answer
    x = 3,471.64

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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.