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Finding the Fourth Proportional to 4,874.64, 7,318.44 and 2,567.76

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Solution

The fourth proportional to 4,874.64, 7,318.44 and 2,567.76 is: 3,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.64 : 7,318.44 = 2,567.76 : x
  2. Step 2: Convert to fraction form
    4,874.64/7,318.44 = 2,567.76/x
  3. Step 3: Cross multiply
    4,874.64x = 7,318.44 × 2,567.76
  4. Step 4: Simplify right side
    4,874.64x = 18,791,997.49
  5. Step 5: Solve for x
    x = 18,791,997.49/4,874.64
  6. Step 6: Final answer
    x = 3,855.05

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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.