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Finding the Fourth Proportional to 3,400.22, 4,701.54 and 2,962.82

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Solution

The fourth proportional to 3,400.22, 4,701.54 and 2,962.82 is: 4,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.22 : 4,701.54 = 2,962.82 : x
  2. Step 2: Convert to fraction form
    3,400.22/4,701.54 = 2,962.82/x
  3. Step 3: Cross multiply
    3,400.22x = 4,701.54 × 2,962.82
  4. Step 4: Simplify right side
    3,400.22x = 13,929,816.74
  5. Step 5: Solve for x
    x = 13,929,816.74/3,400.22
  6. Step 6: Final answer
    x = 4,096.74

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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.