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Finding the Fourth Proportional to 5,264.10, 7,254.47 and 3,769.42

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Solution

The fourth proportional to 5,264.10, 7,254.47 and 3,769.42 is: 5,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.10 : 7,254.47 = 3,769.42 : x
  2. Step 2: Convert to fraction form
    5,264.10/7,254.47 = 3,769.42/x
  3. Step 3: Cross multiply
    5,264.10x = 7,254.47 × 3,769.42
  4. Step 4: Simplify right side
    5,264.10x = 27,345,144.31
  5. Step 5: Solve for x
    x = 27,345,144.31/5,264.10
  6. Step 6: Final answer
    x = 5,194.65

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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.