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Finding the Fourth Proportional to 3,648.42, 5,034.96 and 2,076.66

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Solution

The fourth proportional to 3,648.42, 5,034.96 and 2,076.66 is: 2,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.42 : 5,034.96 = 2,076.66 : x
  2. Step 2: Convert to fraction form
    3,648.42/5,034.96 = 2,076.66/x
  3. Step 3: Cross multiply
    3,648.42x = 5,034.96 × 2,076.66
  4. Step 4: Simplify right side
    3,648.42x = 10,455,900.03
  5. Step 5: Solve for x
    x = 10,455,900.03/3,648.42
  6. Step 6: Final answer
    x = 2,865.87

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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.