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Finding the Fourth Proportional to 3,742.98, 5,165.62 and 2,064.72

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Solution

The fourth proportional to 3,742.98, 5,165.62 and 2,064.72 is: 2,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.98 : 5,165.62 = 2,064.72 : x
  2. Step 2: Convert to fraction form
    3,742.98/5,165.62 = 2,064.72/x
  3. Step 3: Cross multiply
    3,742.98x = 5,165.62 × 2,064.72
  4. Step 4: Simplify right side
    3,742.98x = 10,665,558.93
  5. Step 5: Solve for x
    x = 10,665,558.93/3,742.98
  6. Step 6: Final answer
    x = 2,849.48

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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.