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Finding the Fourth Proportional to 4,591.89, 6,870.42 and 2,813.43

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Solution

The fourth proportional to 4,591.89, 6,870.42 and 2,813.43 is: 4,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.89 : 6,870.42 = 2,813.43 : x
  2. Step 2: Convert to fraction form
    4,591.89/6,870.42 = 2,813.43/x
  3. Step 3: Cross multiply
    4,591.89x = 6,870.42 × 2,813.43
  4. Step 4: Simplify right side
    4,591.89x = 19,329,471.50
  5. Step 5: Solve for x
    x = 19,329,471.50/4,591.89
  6. Step 6: Final answer
    x = 4,209.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.