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Finding the Fourth Proportional to 2,993.76, 4,127.82 and 2,643.84

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Solution

The fourth proportional to 2,993.76, 4,127.82 and 2,643.84 is: 3,645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.76 : 4,127.82 = 2,643.84 : x
  2. Step 2: Convert to fraction form
    2,993.76/4,127.82 = 2,643.84/x
  3. Step 3: Cross multiply
    2,993.76x = 4,127.82 × 2,643.84
  4. Step 4: Simplify right side
    2,993.76x = 10,913,295.63
  5. Step 5: Solve for x
    x = 10,913,295.63/2,993.76
  6. Step 6: Final answer
    x = 3,645.35

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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.