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Finding the Fourth Proportional to 3,762.68, 5,642.82 and 1,813.64

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Solution

The fourth proportional to 3,762.68, 5,642.82 and 1,813.64 is: 2,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.68 : 5,642.82 = 1,813.64 : x
  2. Step 2: Convert to fraction form
    3,762.68/5,642.82 = 1,813.64/x
  3. Step 3: Cross multiply
    3,762.68x = 5,642.82 × 1,813.64
  4. Step 4: Simplify right side
    3,762.68x = 10,234,044.06
  5. Step 5: Solve for x
    x = 10,234,044.06/3,762.68
  6. Step 6: Final answer
    x = 2,719.88

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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.