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Finding the Fourth Proportional to 4,957.68, 6,841.80 and 2,967.84

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Solution

The fourth proportional to 4,957.68, 6,841.80 and 2,967.84 is: 4,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.68 : 6,841.80 = 2,967.84 : x
  2. Step 2: Convert to fraction form
    4,957.68/6,841.80 = 2,967.84/x
  3. Step 3: Cross multiply
    4,957.68x = 6,841.80 × 2,967.84
  4. Step 4: Simplify right side
    4,957.68x = 20,305,367.71
  5. Step 5: Solve for x
    x = 20,305,367.71/4,957.68
  6. Step 6: Final answer
    x = 4,095.74

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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.