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Finding the Fourth Proportional to 5,844.32, 8,063.84 and 3,486

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Solution

The fourth proportional to 5,844.32, 8,063.84 and 3,486 is: 4,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.32 : 8,063.84 = 3,486 : x
  2. Step 2: Convert to fraction form
    5,844.32/8,063.84 = 3,486/x
  3. Step 3: Cross multiply
    5,844.32x = 8,063.84 × 3,486
  4. Step 4: Simplify right side
    5,844.32x = 28,110,546.24
  5. Step 5: Solve for x
    x = 28,110,546.24/5,844.32
  6. Step 6: Final answer
    x = 4,809.89

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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.