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Finding the Fourth Proportional to 3,693.20, 5,094.16 and 2,364.80

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Solution

The fourth proportional to 3,693.20, 5,094.16 and 2,364.80 is: 3,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.20 : 5,094.16 = 2,364.80 : x
  2. Step 2: Convert to fraction form
    3,693.20/5,094.16 = 2,364.80/x
  3. Step 3: Cross multiply
    3,693.20x = 5,094.16 × 2,364.80
  4. Step 4: Simplify right side
    3,693.20x = 12,046,669.57
  5. Step 5: Solve for x
    x = 12,046,669.57/3,693.20
  6. Step 6: Final answer
    x = 3,261.85

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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.