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Finding the Fourth Proportional to 5,840.69, 8,724.85 and 5,254.74

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Solution

The fourth proportional to 5,840.69, 8,724.85 and 5,254.74 is: 7,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.69 : 8,724.85 = 5,254.74 : x
  2. Step 2: Convert to fraction form
    5,840.69/8,724.85 = 5,254.74/x
  3. Step 3: Cross multiply
    5,840.69x = 8,724.85 × 5,254.74
  4. Step 4: Simplify right side
    5,840.69x = 45,846,805.15
  5. Step 5: Solve for x
    x = 45,846,805.15/5,840.69
  6. Step 6: Final answer
    x = 7,849.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.