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Finding the Fourth Proportional to 3,524.76, 4,864.32 and 2,197.44

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Solution

The fourth proportional to 3,524.76, 4,864.32 and 2,197.44 is: 3,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.76 : 4,864.32 = 2,197.44 : x
  2. Step 2: Convert to fraction form
    3,524.76/4,864.32 = 2,197.44/x
  3. Step 3: Cross multiply
    3,524.76x = 4,864.32 × 2,197.44
  4. Step 4: Simplify right side
    3,524.76x = 10,689,051.34
  5. Step 5: Solve for x
    x = 10,689,051.34/3,524.76
  6. Step 6: Final answer
    x = 3,032.56

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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.