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Finding the Fourth Proportional to 5,840.49, 8,053.78 and 3,848.52

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Solution

The fourth proportional to 5,840.49, 8,053.78 and 3,848.52 is: 5,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.49 : 8,053.78 = 3,848.52 : x
  2. Step 2: Convert to fraction form
    5,840.49/8,053.78 = 3,848.52/x
  3. Step 3: Cross multiply
    5,840.49x = 8,053.78 × 3,848.52
  4. Step 4: Simplify right side
    5,840.49x = 30,995,133.41
  5. Step 5: Solve for x
    x = 30,995,133.41/5,840.49
  6. Step 6: Final answer
    x = 5,306.94

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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.