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Finding the Fourth Proportional to 5,204.55, 7,805.36 and 1,872.32

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Solution

The fourth proportional to 5,204.55, 7,805.36 and 1,872.32 is: 2,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.55 : 7,805.36 = 1,872.32 : x
  2. Step 2: Convert to fraction form
    5,204.55/7,805.36 = 1,872.32/x
  3. Step 3: Cross multiply
    5,204.55x = 7,805.36 × 1,872.32
  4. Step 4: Simplify right side
    5,204.55x = 14,614,097.29
  5. Step 5: Solve for x
    x = 14,614,097.29/5,204.55
  6. Step 6: Final answer
    x = 2,807.94

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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.