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Finding the Fourth Proportional to 3,648.42, 5,029.65 and 3,016.26

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Solution

The fourth proportional to 3,648.42, 5,029.65 and 3,016.26 is: 4,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.42 : 5,029.65 = 3,016.26 : x
  2. Step 2: Convert to fraction form
    3,648.42/5,029.65 = 3,016.26/x
  3. Step 3: Cross multiply
    3,648.42x = 5,029.65 × 3,016.26
  4. Step 4: Simplify right side
    3,648.42x = 15,170,732.11
  5. Step 5: Solve for x
    x = 15,170,732.11/3,648.42
  6. Step 6: Final answer
    x = 4,158.16

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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.