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Finding the Fourth Proportional to 5,844.38, 8,065.04 and 3,485.30

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Solution

The fourth proportional to 5,844.38, 8,065.04 and 3,485.30 is: 4,809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.38 : 8,065.04 = 3,485.30 : x
  2. Step 2: Convert to fraction form
    5,844.38/8,065.04 = 3,485.30/x
  3. Step 3: Cross multiply
    5,844.38x = 8,065.04 × 3,485.30
  4. Step 4: Simplify right side
    5,844.38x = 28,109,083.91
  5. Step 5: Solve for x
    x = 28,109,083.91/5,844.38
  6. Step 6: Final answer
    x = 4,809.59

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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.