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Finding the Fourth Proportional to 3,601.45, 5,400.02 and 1,407.57

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Solution

The fourth proportional to 3,601.45, 5,400.02 and 1,407.57 is: 2,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.45 : 5,400.02 = 1,407.57 : x
  2. Step 2: Convert to fraction form
    3,601.45/5,400.02 = 1,407.57/x
  3. Step 3: Cross multiply
    3,601.45x = 5,400.02 × 1,407.57
  4. Step 4: Simplify right side
    3,601.45x = 7,600,872.11
  5. Step 5: Solve for x
    x = 7,600,872.11/3,601.45
  6. Step 6: Final answer
    x = 2,110.50

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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.