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Finding the Fourth Proportional to 4,575.25, 6,863.04 and 1,288.63

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Solution

The fourth proportional to 4,575.25, 6,863.04 and 1,288.63 is: 1,932.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.25 : 6,863.04 = 1,288.63 : x
  2. Step 2: Convert to fraction form
    4,575.25/6,863.04 = 1,288.63/x
  3. Step 3: Cross multiply
    4,575.25x = 6,863.04 × 1,288.63
  4. Step 4: Simplify right side
    4,575.25x = 8,843,919.24
  5. Step 5: Solve for x
    x = 8,843,919.24/4,575.25
  6. Step 6: Final answer
    x = 1,932.99

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