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Finding the Fourth Proportional to 4,569.84, 6,855.28 and 2,228.17

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Solution

The fourth proportional to 4,569.84, 6,855.28 and 2,228.17 is: 3,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.84 : 6,855.28 = 2,228.17 : x
  2. Step 2: Convert to fraction form
    4,569.84/6,855.28 = 2,228.17/x
  3. Step 3: Cross multiply
    4,569.84x = 6,855.28 × 2,228.17
  4. Step 4: Simplify right side
    4,569.84x = 15,274,729.24
  5. Step 5: Solve for x
    x = 15,274,729.24/4,569.84
  6. Step 6: Final answer
    x = 3,342.51

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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.