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Finding the Fourth Proportional to 3,654.63, 5,483.54 and 1,190.22

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Solution

The fourth proportional to 3,654.63, 5,483.54 and 1,190.22 is: 1,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.63 : 5,483.54 = 1,190.22 : x
  2. Step 2: Convert to fraction form
    3,654.63/5,483.54 = 1,190.22/x
  3. Step 3: Cross multiply
    3,654.63x = 5,483.54 × 1,190.22
  4. Step 4: Simplify right side
    3,654.63x = 6,526,613.03
  5. Step 5: Solve for x
    x = 6,526,613.03/3,654.63
  6. Step 6: Final answer
    x = 1,785.85

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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.