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Finding the Fourth Proportional to 5,901.40, 8,142.46 and 3,803

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Solution

The fourth proportional to 5,901.40, 8,142.46 and 3,803 is: 5,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.40 : 8,142.46 = 3,803 : x
  2. Step 2: Convert to fraction form
    5,901.40/8,142.46 = 3,803/x
  3. Step 3: Cross multiply
    5,901.40x = 8,142.46 × 3,803
  4. Step 4: Simplify right side
    5,901.40x = 30,965,775.38
  5. Step 5: Solve for x
    x = 30,965,775.38/5,901.40
  6. Step 6: Final answer
    x = 5,247.19

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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.