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Finding the Fourth Proportional to 3,742.67, 5,165.12 and 2,064.08

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Solution

The fourth proportional to 3,742.67, 5,165.12 and 2,064.08 is: 2,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.67 : 5,165.12 = 2,064.08 : x
  2. Step 2: Convert to fraction form
    3,742.67/5,165.12 = 2,064.08/x
  3. Step 3: Cross multiply
    3,742.67x = 5,165.12 × 2,064.08
  4. Step 4: Simplify right side
    3,742.67x = 10,661,220.89
  5. Step 5: Solve for x
    x = 10,661,220.89/3,742.67
  6. Step 6: Final answer
    x = 2,848.56

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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.