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Finding the Fourth Proportional to 3,742.74, 5,165.28 and 2,064.30

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Solution

The fourth proportional to 3,742.74, 5,165.28 and 2,064.30 is: 2,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.74 : 5,165.28 = 2,064.30 : x
  2. Step 2: Convert to fraction form
    3,742.74/5,165.28 = 2,064.30/x
  3. Step 3: Cross multiply
    3,742.74x = 5,165.28 × 2,064.30
  4. Step 4: Simplify right side
    3,742.74x = 10,662,687.50
  5. Step 5: Solve for x
    x = 10,662,687.50/3,742.74
  6. Step 6: Final answer
    x = 2,848.90

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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.