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Finding the Fourth Proportional to 4,946.68, 6,826.11 and 2,957.26

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Solution

The fourth proportional to 4,946.68, 6,826.11 and 2,957.26 is: 4,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.68 : 6,826.11 = 2,957.26 : x
  2. Step 2: Convert to fraction form
    4,946.68/6,826.11 = 2,957.26/x
  3. Step 3: Cross multiply
    4,946.68x = 6,826.11 × 2,957.26
  4. Step 4: Simplify right side
    4,946.68x = 20,186,582.06
  5. Step 5: Solve for x
    x = 20,186,582.06/4,946.68
  6. Step 6: Final answer
    x = 4,080.83

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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.