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Finding the Fourth Proportional to 5,843.52, 8,065.11 and 3,485.82

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Solution

The fourth proportional to 5,843.52, 8,065.11 and 3,485.82 is: 4,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.52 : 8,065.11 = 3,485.82 : x
  2. Step 2: Convert to fraction form
    5,843.52/8,065.11 = 3,485.82/x
  3. Step 3: Cross multiply
    5,843.52x = 8,065.11 × 3,485.82
  4. Step 4: Simplify right side
    5,843.52x = 28,113,521.74
  5. Step 5: Solve for x
    x = 28,113,521.74/5,843.52
  6. Step 6: Final answer
    x = 4,811.06

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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.