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Finding the Fourth Proportional to 3,765.68, 5,649.36 and 1,133.42

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Solution

The fourth proportional to 3,765.68, 5,649.36 and 1,133.42 is: 1,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.68 : 5,649.36 = 1,133.42 : x
  2. Step 2: Convert to fraction form
    3,765.68/5,649.36 = 1,133.42/x
  3. Step 3: Cross multiply
    3,765.68x = 5,649.36 × 1,133.42
  4. Step 4: Simplify right side
    3,765.68x = 6,403,097.61
  5. Step 5: Solve for x
    x = 6,403,097.61/3,765.68
  6. Step 6: Final answer
    x = 1,700.38

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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.