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Finding the Fourth Proportional to 4,758.30, 6,566.13 and 2,662.02

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Solution

The fourth proportional to 4,758.30, 6,566.13 and 2,662.02 is: 3,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.30 : 6,566.13 = 2,662.02 : x
  2. Step 2: Convert to fraction form
    4,758.30/6,566.13 = 2,662.02/x
  3. Step 3: Cross multiply
    4,758.30x = 6,566.13 × 2,662.02
  4. Step 4: Simplify right side
    4,758.30x = 17,479,169.38
  5. Step 5: Solve for x
    x = 17,479,169.38/4,758.30
  6. Step 6: Final answer
    x = 3,673.41

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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.