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Finding the Fourth Proportional to 4,957.18, 6,838.42 and 2,967.22

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Solution

The fourth proportional to 4,957.18, 6,838.42 and 2,967.22 is: 4,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.18 : 6,838.42 = 2,967.22 : x
  2. Step 2: Convert to fraction form
    4,957.18/6,838.42 = 2,967.22/x
  3. Step 3: Cross multiply
    4,957.18x = 6,838.42 × 2,967.22
  4. Step 4: Simplify right side
    4,957.18x = 20,291,096.59
  5. Step 5: Solve for x
    x = 20,291,096.59/4,957.18
  6. Step 6: Final answer
    x = 4,093.27

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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.