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Finding the Fourth Proportional to 5,770.54, 8,659.00 and 2,849.07

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Solution

The fourth proportional to 5,770.54, 8,659.00 and 2,849.07 is: 4,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.54 : 8,659.00 = 2,849.07 : x
  2. Step 2: Convert to fraction form
    5,770.54/8,659.00 = 2,849.07/x
  3. Step 3: Cross multiply
    5,770.54x = 8,659.00 × 2,849.07
  4. Step 4: Simplify right side
    5,770.54x = 24,670,133.16
  5. Step 5: Solve for x
    x = 24,670,133.16/5,770.54
  6. Step 6: Final answer
    x = 4,275.19

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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.