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Finding the Fourth Proportional to 3,964.68, 5,948.40 and 1,773.64

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Solution

The fourth proportional to 3,964.68, 5,948.40 and 1,773.64 is: 2,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.68 : 5,948.40 = 1,773.64 : x
  2. Step 2: Convert to fraction form
    3,964.68/5,948.40 = 1,773.64/x
  3. Step 3: Cross multiply
    3,964.68x = 5,948.40 × 1,773.64
  4. Step 4: Simplify right side
    3,964.68x = 10,550,320.18
  5. Step 5: Solve for x
    x = 10,550,320.18/3,964.68
  6. Step 6: Final answer
    x = 2,661.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.