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Finding the Fourth Proportional to 3,648.53, 5,035.02 and 2,076.63

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Solution

The fourth proportional to 3,648.53, 5,035.02 and 2,076.63 is: 2,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.53 : 5,035.02 = 2,076.63 : x
  2. Step 2: Convert to fraction form
    3,648.53/5,035.02 = 2,076.63/x
  3. Step 3: Cross multiply
    3,648.53x = 5,035.02 × 2,076.63
  4. Step 4: Simplify right side
    3,648.53x = 10,455,873.58
  5. Step 5: Solve for x
    x = 10,455,873.58/3,648.53
  6. Step 6: Final answer
    x = 2,865.78

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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.