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Finding the Fourth Proportional to 5,282.24, 7,918.16 and 2,504

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Solution

The fourth proportional to 5,282.24, 7,918.16 and 2,504 is: 3,753.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.24 : 7,918.16 = 2,504 : x
  2. Step 2: Convert to fraction form
    5,282.24/7,918.16 = 2,504/x
  3. Step 3: Cross multiply
    5,282.24x = 7,918.16 × 2,504
  4. Step 4: Simplify right side
    5,282.24x = 19,827,072.64
  5. Step 5: Solve for x
    x = 19,827,072.64/5,282.24
  6. Step 6: Final answer
    x = 3,753.53

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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.