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Finding the Fourth Proportional to 5,042.54, 6,957.68 and 2,946.26

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Solution

The fourth proportional to 5,042.54, 6,957.68 and 2,946.26 is: 4,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.54 : 6,957.68 = 2,946.26 : x
  2. Step 2: Convert to fraction form
    5,042.54/6,957.68 = 2,946.26/x
  3. Step 3: Cross multiply
    5,042.54x = 6,957.68 × 2,946.26
  4. Step 4: Simplify right side
    5,042.54x = 20,499,134.28
  5. Step 5: Solve for x
    x = 20,499,134.28/5,042.54
  6. Step 6: Final answer
    x = 4,065.24

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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.