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Finding the Fourth Proportional to 3,473.95, 5,211.46 and 1,164.91

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Solution

The fourth proportional to 3,473.95, 5,211.46 and 1,164.91 is: 1,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.95 : 5,211.46 = 1,164.91 : x
  2. Step 2: Convert to fraction form
    3,473.95/5,211.46 = 1,164.91/x
  3. Step 3: Cross multiply
    3,473.95x = 5,211.46 × 1,164.91
  4. Step 4: Simplify right side
    3,473.95x = 6,070,881.87
  5. Step 5: Solve for x
    x = 6,070,881.87/3,473.95
  6. Step 6: Final answer
    x = 1,747.54

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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.