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Finding the Fourth Proportional to 3,486.91, 4,812.56 and 2,089.87

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Solution

The fourth proportional to 3,486.91, 4,812.56 and 2,089.87 is: 2,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.91 : 4,812.56 = 2,089.87 : x
  2. Step 2: Convert to fraction form
    3,486.91/4,812.56 = 2,089.87/x
  3. Step 3: Cross multiply
    3,486.91x = 4,812.56 × 2,089.87
  4. Step 4: Simplify right side
    3,486.91x = 10,057,624.77
  5. Step 5: Solve for x
    x = 10,057,624.77/3,486.91
  6. Step 6: Final answer
    x = 2,884.39

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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.