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Finding the Fourth Proportional to 3,655.67, 5,483.95 and 1,189.82

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Solution

The fourth proportional to 3,655.67, 5,483.95 and 1,189.82 is: 1,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.67 : 5,483.95 = 1,189.82 : x
  2. Step 2: Convert to fraction form
    3,655.67/5,483.95 = 1,189.82/x
  3. Step 3: Cross multiply
    3,655.67x = 5,483.95 × 1,189.82
  4. Step 4: Simplify right side
    3,655.67x = 6,524,930.82
  5. Step 5: Solve for x
    x = 6,524,930.82/3,655.67
  6. Step 6: Final answer
    x = 1,784.88

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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.