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Finding the Fourth Proportional to 4,758.25, 6,566.42 and 2,662.38

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Solution

The fourth proportional to 4,758.25, 6,566.42 and 2,662.38 is: 3,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.25 : 6,566.42 = 2,662.38 : x
  2. Step 2: Convert to fraction form
    4,758.25/6,566.42 = 2,662.38/x
  3. Step 3: Cross multiply
    4,758.25x = 6,566.42 × 2,662.38
  4. Step 4: Simplify right side
    4,758.25x = 17,482,305.28
  5. Step 5: Solve for x
    x = 17,482,305.28/4,758.25
  6. Step 6: Final answer
    x = 3,674.10

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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.