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Finding the Fourth Proportional to 4,207.64, 6,339.96 and 3,493.22

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Solution

The fourth proportional to 4,207.64, 6,339.96 and 3,493.22 is: 5,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.64 : 6,339.96 = 3,493.22 : x
  2. Step 2: Convert to fraction form
    4,207.64/6,339.96 = 3,493.22/x
  3. Step 3: Cross multiply
    4,207.64x = 6,339.96 × 3,493.22
  4. Step 4: Simplify right side
    4,207.64x = 22,146,843.37
  5. Step 5: Solve for x
    x = 22,146,843.37/4,207.64
  6. Step 6: Final answer
    x = 5,263.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.