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Finding the Fourth Proportional to 3,034.72, 4,543.38 and 1,872.64

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Solution

The fourth proportional to 3,034.72, 4,543.38 and 1,872.64 is: 2,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.72 : 4,543.38 = 1,872.64 : x
  2. Step 2: Convert to fraction form
    3,034.72/4,543.38 = 1,872.64/x
  3. Step 3: Cross multiply
    3,034.72x = 4,543.38 × 1,872.64
  4. Step 4: Simplify right side
    3,034.72x = 8,508,115.12
  5. Step 5: Solve for x
    x = 8,508,115.12/3,034.72
  6. Step 6: Final answer
    x = 2,803.59

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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.