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Finding the Fourth Proportional to 3,670.70, 5,063.84 and 2,097.88

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Solution

The fourth proportional to 3,670.70, 5,063.84 and 2,097.88 is: 2,894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.70 : 5,063.84 = 2,097.88 : x
  2. Step 2: Convert to fraction form
    3,670.70/5,063.84 = 2,097.88/x
  3. Step 3: Cross multiply
    3,670.70x = 5,063.84 × 2,097.88
  4. Step 4: Simplify right side
    3,670.70x = 10,623,292.85
  5. Step 5: Solve for x
    x = 10,623,292.85/3,670.70
  6. Step 6: Final answer
    x = 2,894.08

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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.