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Finding the Fourth Proportional to 3,655.46, 5,483.52 and 1,189.64

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Solution

The fourth proportional to 3,655.46, 5,483.52 and 1,189.64 is: 1,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.46 : 5,483.52 = 1,189.64 : x
  2. Step 2: Convert to fraction form
    3,655.46/5,483.52 = 1,189.64/x
  3. Step 3: Cross multiply
    3,655.46x = 5,483.52 × 1,189.64
  4. Step 4: Simplify right side
    3,655.46x = 6,523,414.73
  5. Step 5: Solve for x
    x = 6,523,414.73/3,655.46
  6. Step 6: Final answer
    x = 1,784.57

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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.