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Finding the Fourth Proportional to 3,760.60, 5,642.10 and 1,164.28

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Solution

The fourth proportional to 3,760.60, 5,642.10 and 1,164.28 is: 1,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.60 : 5,642.10 = 1,164.28 : x
  2. Step 2: Convert to fraction form
    3,760.60/5,642.10 = 1,164.28/x
  3. Step 3: Cross multiply
    3,760.60x = 5,642.10 × 1,164.28
  4. Step 4: Simplify right side
    3,760.60x = 6,568,984.19
  5. Step 5: Solve for x
    x = 6,568,984.19/3,760.60
  6. Step 6: Final answer
    x = 1,746.79

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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.