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Finding the Fourth Proportional to 5,718.69, 8,573.99 and 2,205.74

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Solution

The fourth proportional to 5,718.69, 8,573.99 and 2,205.74 is: 3,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.69 : 8,573.99 = 2,205.74 : x
  2. Step 2: Convert to fraction form
    5,718.69/8,573.99 = 2,205.74/x
  3. Step 3: Cross multiply
    5,718.69x = 8,573.99 × 2,205.74
  4. Step 4: Simplify right side
    5,718.69x = 18,912,003.11
  5. Step 5: Solve for x
    x = 18,912,003.11/5,718.69
  6. Step 6: Final answer
    x = 3,307.05

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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.