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Finding the Fourth Proportional to 3,760.99, 5,642.02 and 1,164.13

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Solution

The fourth proportional to 3,760.99, 5,642.02 and 1,164.13 is: 1,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.99 : 5,642.02 = 1,164.13 : x
  2. Step 2: Convert to fraction form
    3,760.99/5,642.02 = 1,164.13/x
  3. Step 3: Cross multiply
    3,760.99x = 5,642.02 × 1,164.13
  4. Step 4: Simplify right side
    3,760.99x = 6,568,044.74
  5. Step 5: Solve for x
    x = 6,568,044.74/3,760.99
  6. Step 6: Final answer
    x = 1,746.36

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1.5x scale

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.