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Finding the Fourth Proportional to 5,773.61, 8,661.02 and 2,849.10

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Solution

The fourth proportional to 5,773.61, 8,661.02 and 2,849.10 is: 4,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.61 : 8,661.02 = 2,849.10 : x
  2. Step 2: Convert to fraction form
    5,773.61/8,661.02 = 2,849.10/x
  3. Step 3: Cross multiply
    5,773.61x = 8,661.02 × 2,849.10
  4. Step 4: Simplify right side
    5,773.61x = 24,676,097.84
  5. Step 5: Solve for x
    x = 24,676,097.84/5,773.61
  6. Step 6: Final answer
    x = 4,273.95

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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.