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Finding the Fourth Proportional to 3,534.08, 5,301.11 and 1,194.08

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Solution

The fourth proportional to 3,534.08, 5,301.11 and 1,194.08 is: 1,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.08 : 5,301.11 = 1,194.08 : x
  2. Step 2: Convert to fraction form
    3,534.08/5,301.11 = 1,194.08/x
  3. Step 3: Cross multiply
    3,534.08x = 5,301.11 × 1,194.08
  4. Step 4: Simplify right side
    3,534.08x = 6,329,956.71
  5. Step 5: Solve for x
    x = 6,329,956.71/3,534.08
  6. Step 6: Final answer
    x = 1,791.12

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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.