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Finding the Fourth Proportional to 3,772.79, 5,656.97 and 1,139.51

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Solution

The fourth proportional to 3,772.79, 5,656.97 and 1,139.51 is: 1,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.79 : 5,656.97 = 1,139.51 : x
  2. Step 2: Convert to fraction form
    3,772.79/5,656.97 = 1,139.51/x
  3. Step 3: Cross multiply
    3,772.79x = 5,656.97 × 1,139.51
  4. Step 4: Simplify right side
    3,772.79x = 6,446,148.45
  5. Step 5: Solve for x
    x = 6,446,148.45/3,772.79
  6. Step 6: Final answer
    x = 1,708.59

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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.