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Finding the Fourth Proportional to 4,693.20, 6,468.84 and 3,364.80

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Solution

The fourth proportional to 4,693.20, 6,468.84 and 3,364.80 is: 4,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.20 : 6,468.84 = 3,364.80 : x
  2. Step 2: Convert to fraction form
    4,693.20/6,468.84 = 3,364.80/x
  3. Step 3: Cross multiply
    4,693.20x = 6,468.84 × 3,364.80
  4. Step 4: Simplify right side
    4,693.20x = 21,766,352.83
  5. Step 5: Solve for x
    x = 21,766,352.83/4,693.20
  6. Step 6: Final answer
    x = 4,637.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.