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Finding the Fourth Proportional to 4,614.08, 6,920.04 and 2,271.68

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Solution

The fourth proportional to 4,614.08, 6,920.04 and 2,271.68 is: 3,406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.08 : 6,920.04 = 2,271.68 : x
  2. Step 2: Convert to fraction form
    4,614.08/6,920.04 = 2,271.68/x
  3. Step 3: Cross multiply
    4,614.08x = 6,920.04 × 2,271.68
  4. Step 4: Simplify right side
    4,614.08x = 15,720,116.47
  5. Step 5: Solve for x
    x = 15,720,116.47/4,614.08
  6. Step 6: Final answer
    x = 3,406.99

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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.