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Finding the Fourth Proportional to 4,872.96, 7,314 and 2,566.08

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Solution

The fourth proportional to 4,872.96, 7,314 and 2,566.08 is: 3,851.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.96 : 7,314 = 2,566.08 : x
  2. Step 2: Convert to fraction form
    4,872.96/7,314 = 2,566.08/x
  3. Step 3: Cross multiply
    4,872.96x = 7,314 × 2,566.08
  4. Step 4: Simplify right side
    4,872.96x = 18,768,309.12
  5. Step 5: Solve for x
    x = 18,768,309.12/4,872.96
  6. Step 6: Final answer
    x = 3,851.52

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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.