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Finding the Fourth Proportional to 5,257.64, 7,890.24 and 3,067.04

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Solution

The fourth proportional to 5,257.64, 7,890.24 and 3,067.04 is: 4,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.64 : 7,890.24 = 3,067.04 : x
  2. Step 2: Convert to fraction form
    5,257.64/7,890.24 = 3,067.04/x
  3. Step 3: Cross multiply
    5,257.64x = 7,890.24 × 3,067.04
  4. Step 4: Simplify right side
    5,257.64x = 24,199,681.69
  5. Step 5: Solve for x
    x = 24,199,681.69/5,257.64
  6. Step 6: Final answer
    x = 4,602.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.