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Finding the Fourth Proportional to 5,278.56, 7,284 and 2,920.16

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Solution

The fourth proportional to 5,278.56, 7,284 and 2,920.16 is: 4,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.56 : 7,284 = 2,920.16 : x
  2. Step 2: Convert to fraction form
    5,278.56/7,284 = 2,920.16/x
  3. Step 3: Cross multiply
    5,278.56x = 7,284 × 2,920.16
  4. Step 4: Simplify right side
    5,278.56x = 21,270,445.44
  5. Step 5: Solve for x
    x = 21,270,445.44/5,278.56
  6. Step 6: Final answer
    x = 4,029.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.