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Finding the Fourth Proportional to 3,596.75, 5,398.19 and 1,407.02

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Solution

The fourth proportional to 3,596.75, 5,398.19 and 1,407.02 is: 2,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.75 : 5,398.19 = 1,407.02 : x
  2. Step 2: Convert to fraction form
    3,596.75/5,398.19 = 1,407.02/x
  3. Step 3: Cross multiply
    3,596.75x = 5,398.19 × 1,407.02
  4. Step 4: Simplify right side
    3,596.75x = 7,595,361.29
  5. Step 5: Solve for x
    x = 7,595,361.29/3,596.75
  6. Step 6: Final answer
    x = 2,111.73

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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.