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Finding the Fourth Proportional to 4,164.50, 5,747.02 and 2,301.50

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Solution

The fourth proportional to 4,164.50, 5,747.02 and 2,301.50 is: 3,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.50 : 5,747.02 = 2,301.50 : x
  2. Step 2: Convert to fraction form
    4,164.50/5,747.02 = 2,301.50/x
  3. Step 3: Cross multiply
    4,164.50x = 5,747.02 × 2,301.50
  4. Step 4: Simplify right side
    4,164.50x = 13,226,766.53
  5. Step 5: Solve for x
    x = 13,226,766.53/4,164.50
  6. Step 6: Final answer
    x = 3,176.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.