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Finding the Fourth Proportional to 3,364.22, 5,076.68 and 3,242.18

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Solution

The fourth proportional to 3,364.22, 5,076.68 and 3,242.18 is: 4,892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.22 : 5,076.68 = 3,242.18 : x
  2. Step 2: Convert to fraction form
    3,364.22/5,076.68 = 3,242.18/x
  3. Step 3: Cross multiply
    3,364.22x = 5,076.68 × 3,242.18
  4. Step 4: Simplify right side
    3,364.22x = 16,459,510.36
  5. Step 5: Solve for x
    x = 16,459,510.36/3,364.22
  6. Step 6: Final answer
    x = 4,892.52

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Why These Related Problems?

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