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Finding the Fourth Proportional to 4,758.42, 6,562.33 and 3,964.38

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Solution

The fourth proportional to 4,758.42, 6,562.33 and 3,964.38 is: 5,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.42 : 6,562.33 = 3,964.38 : x
  2. Step 2: Convert to fraction form
    4,758.42/6,562.33 = 3,964.38/x
  3. Step 3: Cross multiply
    4,758.42x = 6,562.33 × 3,964.38
  4. Step 4: Simplify right side
    4,758.42x = 26,015,569.81
  5. Step 5: Solve for x
    x = 26,015,569.81/4,758.42
  6. Step 6: Final answer
    x = 5,467.27

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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.