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Finding the Fourth Proportional to 3,488.54, 4,812.54 and 2,228.94

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Solution

The fourth proportional to 3,488.54, 4,812.54 and 2,228.94 is: 3,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.54 : 4,812.54 = 2,228.94 : x
  2. Step 2: Convert to fraction form
    3,488.54/4,812.54 = 2,228.94/x
  3. Step 3: Cross multiply
    3,488.54x = 4,812.54 × 2,228.94
  4. Step 4: Simplify right side
    3,488.54x = 10,726,862.91
  5. Step 5: Solve for x
    x = 10,726,862.91/3,488.54
  6. Step 6: Final answer
    x = 3,074.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.