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Finding the Fourth Proportional to 4,758, 6,566.04 and 2,895

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Solution

The fourth proportional to 4,758, 6,566.04 and 2,895 is: 3,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758 : 6,566.04 = 2,895 : x
  2. Step 2: Convert to fraction form
    4,758/6,566.04 = 2,895/x
  3. Step 3: Cross multiply
    4,758x = 6,566.04 × 2,895
  4. Step 4: Simplify right side
    4,758x = 19,008,685.80
  5. Step 5: Solve for x
    x = 19,008,685.80/4,758
  6. Step 6: Final answer
    x = 3,995.10

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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.