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Finding the Fourth Proportional to 3,693.50, 5,095.16 and 2,201.22

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Solution

The fourth proportional to 3,693.50, 5,095.16 and 2,201.22 is: 3,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.50 : 5,095.16 = 2,201.22 : x
  2. Step 2: Convert to fraction form
    3,693.50/5,095.16 = 2,201.22/x
  3. Step 3: Cross multiply
    3,693.50x = 5,095.16 × 2,201.22
  4. Step 4: Simplify right side
    3,693.50x = 11,215,568.10
  5. Step 5: Solve for x
    x = 11,215,568.10/3,693.50
  6. Step 6: Final answer
    x = 3,036.57

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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.