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Finding the Fourth Proportional to 5,216.88, 7,827.12 and 3,266.76

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Solution

The fourth proportional to 5,216.88, 7,827.12 and 3,266.76 is: 4,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.88 : 7,827.12 = 3,266.76 : x
  2. Step 2: Convert to fraction form
    5,216.88/7,827.12 = 3,266.76/x
  3. Step 3: Cross multiply
    5,216.88x = 7,827.12 × 3,266.76
  4. Step 4: Simplify right side
    5,216.88x = 25,569,322.53
  5. Step 5: Solve for x
    x = 25,569,322.53/5,216.88
  6. Step 6: Final answer
    x = 4,901.27

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1.5x scale

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.