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Finding the Fourth Proportional to 3,838.93, 5,307.15 and 3,803.83

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Solution

The fourth proportional to 3,838.93, 5,307.15 and 3,803.83 is: 5,258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.93 : 5,307.15 = 3,803.83 : x
  2. Step 2: Convert to fraction form
    3,838.93/5,307.15 = 3,803.83/x
  3. Step 3: Cross multiply
    3,838.93x = 5,307.15 × 3,803.83
  4. Step 4: Simplify right side
    3,838.93x = 20,187,496.38
  5. Step 5: Solve for x
    x = 20,187,496.38/3,838.93
  6. Step 6: Final answer
    x = 5,258.63

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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.