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Finding the Fourth Proportional to 4,551.72, 6,826.78 and 1,264.03

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Solution

The fourth proportional to 4,551.72, 6,826.78 and 1,264.03 is: 1,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.72 : 6,826.78 = 1,264.03 : x
  2. Step 2: Convert to fraction form
    4,551.72/6,826.78 = 1,264.03/x
  3. Step 3: Cross multiply
    4,551.72x = 6,826.78 × 1,264.03
  4. Step 4: Simplify right side
    4,551.72x = 8,629,239.24
  5. Step 5: Solve for x
    x = 8,629,239.24/4,551.72
  6. Step 6: Final answer
    x = 1,895.82

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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.