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Finding the Fourth Proportional to 5,795.61, 8,693.40 and 3,214.95

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Solution

The fourth proportional to 5,795.61, 8,693.40 and 3,214.95 is: 4,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.61 : 8,693.40 = 3,214.95 : x
  2. Step 2: Convert to fraction form
    5,795.61/8,693.40 = 3,214.95/x
  3. Step 3: Cross multiply
    5,795.61x = 8,693.40 × 3,214.95
  4. Step 4: Simplify right side
    5,795.61x = 27,948,846.33
  5. Step 5: Solve for x
    x = 27,948,846.33/5,795.61
  6. Step 6: Final answer
    x = 4,822.42

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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.