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Finding the Fourth Proportional to 3,689.86, 5,093.14 and 2,943.58

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Solution

The fourth proportional to 3,689.86, 5,093.14 and 2,943.58 is: 4,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.86 : 5,093.14 = 2,943.58 : x
  2. Step 2: Convert to fraction form
    3,689.86/5,093.14 = 2,943.58/x
  3. Step 3: Cross multiply
    3,689.86x = 5,093.14 × 2,943.58
  4. Step 4: Simplify right side
    3,689.86x = 14,992,065.04
  5. Step 5: Solve for x
    x = 14,992,065.04/3,689.86
  6. Step 6: Final answer
    x = 4,063.04

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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.