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Finding the Fourth Proportional to 3,742.79, 5,165.16 and 2,064.25

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Solution

The fourth proportional to 3,742.79, 5,165.16 and 2,064.25 is: 2,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.79 : 5,165.16 = 2,064.25 : x
  2. Step 2: Convert to fraction form
    3,742.79/5,165.16 = 2,064.25/x
  3. Step 3: Cross multiply
    3,742.79x = 5,165.16 × 2,064.25
  4. Step 4: Simplify right side
    3,742.79x = 10,662,155.70
  5. Step 5: Solve for x
    x = 10,662,155.70/3,742.79
  6. Step 6: Final answer
    x = 2,848.72

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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.