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Finding the Fourth Proportional to 3,296.42, 4,967.56 and 2,984.17

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Solution

The fourth proportional to 3,296.42, 4,967.56 and 2,984.17 is: 4,497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.42 : 4,967.56 = 2,984.17 : x
  2. Step 2: Convert to fraction form
    3,296.42/4,967.56 = 2,984.17/x
  3. Step 3: Cross multiply
    3,296.42x = 4,967.56 × 2,984.17
  4. Step 4: Simplify right side
    3,296.42x = 14,824,026.15
  5. Step 5: Solve for x
    x = 14,824,026.15/3,296.42
  6. Step 6: Final answer
    x = 4,497.01

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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.