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Finding the Fourth Proportional to 3,778.34, 5,216.62 and 2,364.16

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Solution

The fourth proportional to 3,778.34, 5,216.62 and 2,364.16 is: 3,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.34 : 5,216.62 = 2,364.16 : x
  2. Step 2: Convert to fraction form
    3,778.34/5,216.62 = 2,364.16/x
  3. Step 3: Cross multiply
    3,778.34x = 5,216.62 × 2,364.16
  4. Step 4: Simplify right side
    3,778.34x = 12,332,924.34
  5. Step 5: Solve for x
    x = 12,332,924.34/3,778.34
  6. Step 6: Final answer
    x = 3,264.11

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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.