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Finding the Fourth Proportional to 4,135.32, 5,706.86 and 2,367.49

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Solution

The fourth proportional to 4,135.32, 5,706.86 and 2,367.49 is: 3,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.32 : 5,706.86 = 2,367.49 : x
  2. Step 2: Convert to fraction form
    4,135.32/5,706.86 = 2,367.49/x
  3. Step 3: Cross multiply
    4,135.32x = 5,706.86 × 2,367.49
  4. Step 4: Simplify right side
    4,135.32x = 13,510,933.98
  5. Step 5: Solve for x
    x = 13,510,933.98/4,135.32
  6. Step 6: Final answer
    x = 3,267.20

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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.