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Finding the Fourth Proportional to 3,742.81, 5,165.30 and 2,064.58

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Solution

The fourth proportional to 3,742.81, 5,165.30 and 2,064.58 is: 2,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.81 : 5,165.30 = 2,064.58 : x
  2. Step 2: Convert to fraction form
    3,742.81/5,165.30 = 2,064.58/x
  3. Step 3: Cross multiply
    3,742.81x = 5,165.30 × 2,064.58
  4. Step 4: Simplify right side
    3,742.81x = 10,664,175.07
  5. Step 5: Solve for x
    x = 10,664,175.07/3,742.81
  6. Step 6: Final answer
    x = 2,849.24

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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.