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Finding the Fourth Proportional to 3,368, 4,647.84 and 1,896

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Solution

The fourth proportional to 3,368, 4,647.84 and 1,896 is: 2,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368 : 4,647.84 = 1,896 : x
  2. Step 2: Convert to fraction form
    3,368/4,647.84 = 1,896/x
  3. Step 3: Cross multiply
    3,368x = 4,647.84 × 1,896
  4. Step 4: Simplify right side
    3,368x = 8,812,304.64
  5. Step 5: Solve for x
    x = 8,812,304.64/3,368
  6. Step 6: Final answer
    x = 2,616.48

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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.