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Finding the Fourth Proportional to 3,848.16, 5,310.15 and 2,169.98

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Solution

The fourth proportional to 3,848.16, 5,310.15 and 2,169.98 is: 2,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.16 : 5,310.15 = 2,169.98 : x
  2. Step 2: Convert to fraction form
    3,848.16/5,310.15 = 2,169.98/x
  3. Step 3: Cross multiply
    3,848.16x = 5,310.15 × 2,169.98
  4. Step 4: Simplify right side
    3,848.16x = 11,522,908.45
  5. Step 5: Solve for x
    x = 11,522,908.45/3,848.16
  6. Step 6: Final answer
    x = 2,994.39

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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.