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Finding the Fourth Proportional to 3,388.40, 4,675.98 and 1,896.32

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Solution

The fourth proportional to 3,388.40, 4,675.98 and 1,896.32 is: 2,616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.40 : 4,675.98 = 1,896.32 : x
  2. Step 2: Convert to fraction form
    3,388.40/4,675.98 = 1,896.32/x
  3. Step 3: Cross multiply
    3,388.40x = 4,675.98 × 1,896.32
  4. Step 4: Simplify right side
    3,388.40x = 8,867,154.39
  5. Step 5: Solve for x
    x = 8,867,154.39/3,388.40
  6. Step 6: Final answer
    x = 2,616.91

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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.