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Finding the Fourth Proportional to 2,547.20, 3,797.96 and 2,524.48

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Solution

The fourth proportional to 2,547.20, 3,797.96 and 2,524.48 is: 3,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.20 : 3,797.96 = 2,524.48 : x
  2. Step 2: Convert to fraction form
    2,547.20/3,797.96 = 2,524.48/x
  3. Step 3: Cross multiply
    2,547.20x = 3,797.96 × 2,524.48
  4. Step 4: Simplify right side
    2,547.20x = 9,587,874.06
  5. Step 5: Solve for x
    x = 9,587,874.06/2,547.20
  6. Step 6: Final answer
    x = 3,764.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.