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Finding the Fourth Proportional to 4,614.68, 6,368.76 and 2,846.24

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Solution

The fourth proportional to 4,614.68, 6,368.76 and 2,846.24 is: 3,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.68 : 6,368.76 = 2,846.24 : x
  2. Step 2: Convert to fraction form
    4,614.68/6,368.76 = 2,846.24/x
  3. Step 3: Cross multiply
    4,614.68x = 6,368.76 × 2,846.24
  4. Step 4: Simplify right side
    4,614.68x = 18,127,019.46
  5. Step 5: Solve for x
    x = 18,127,019.46/4,614.68
  6. Step 6: Final answer
    x = 3,928.12

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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.