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Finding the Fourth Proportional to 3,888.64, 5,366.34 and 2,210

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Solution

The fourth proportional to 3,888.64, 5,366.34 and 2,210 is: 3,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.64 : 5,366.34 = 2,210 : x
  2. Step 2: Convert to fraction form
    3,888.64/5,366.34 = 2,210/x
  3. Step 3: Cross multiply
    3,888.64x = 5,366.34 × 2,210
  4. Step 4: Simplify right side
    3,888.64x = 11,859,611.40
  5. Step 5: Solve for x
    x = 11,859,611.40/3,888.64
  6. Step 6: Final answer
    x = 3,049.81

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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.