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Finding the Fourth Proportional to 3,498.96, 4,828.14 and 2,006.94

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Solution

The fourth proportional to 3,498.96, 4,828.14 and 2,006.94 is: 2,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.96 : 4,828.14 = 2,006.94 : x
  2. Step 2: Convert to fraction form
    3,498.96/4,828.14 = 2,006.94/x
  3. Step 3: Cross multiply
    3,498.96x = 4,828.14 × 2,006.94
  4. Step 4: Simplify right side
    3,498.96x = 9,689,787.29
  5. Step 5: Solve for x
    x = 9,689,787.29/3,498.96
  6. Step 6: Final answer
    x = 2,769.33

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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.