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Finding the Fourth Proportional to 3,983.67, 5,498.84 and 2,411.77

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Solution

The fourth proportional to 3,983.67, 5,498.84 and 2,411.77 is: 3,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.67 : 5,498.84 = 2,411.77 : x
  2. Step 2: Convert to fraction form
    3,983.67/5,498.84 = 2,411.77/x
  3. Step 3: Cross multiply
    3,983.67x = 5,498.84 × 2,411.77
  4. Step 4: Simplify right side
    3,983.67x = 13,261,911.54
  5. Step 5: Solve for x
    x = 13,261,911.54/3,983.67
  6. Step 6: Final answer
    x = 3,329.07

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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.