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Finding the Fourth Proportional to 5,838.30, 8,054.79 and 3,743.58

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Solution

The fourth proportional to 5,838.30, 8,054.79 and 3,743.58 is: 5,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.30 : 8,054.79 = 3,743.58 : x
  2. Step 2: Convert to fraction form
    5,838.30/8,054.79 = 3,743.58/x
  3. Step 3: Cross multiply
    5,838.30x = 8,054.79 × 3,743.58
  4. Step 4: Simplify right side
    5,838.30x = 30,153,750.75
  5. Step 5: Solve for x
    x = 30,153,750.75/5,838.30
  6. Step 6: Final answer
    x = 5,164.82

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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.