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Finding the Fourth Proportional to 3,783.56, 5,223.88 and 2,367.82

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Solution

The fourth proportional to 3,783.56, 5,223.88 and 2,367.82 is: 3,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.56 : 5,223.88 = 2,367.82 : x
  2. Step 2: Convert to fraction form
    3,783.56/5,223.88 = 2,367.82/x
  3. Step 3: Cross multiply
    3,783.56x = 5,223.88 × 2,367.82
  4. Step 4: Simplify right side
    3,783.56x = 12,369,184.32
  5. Step 5: Solve for x
    x = 12,369,184.32/3,783.56
  6. Step 6: Final answer
    x = 3,269.20

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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.