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Finding the Fourth Proportional to 5,056.68, 6,976.18 and 3,287.64

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Solution

The fourth proportional to 5,056.68, 6,976.18 and 3,287.64 is: 4,535.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.68 : 6,976.18 = 3,287.64 : x
  2. Step 2: Convert to fraction form
    5,056.68/6,976.18 = 3,287.64/x
  3. Step 3: Cross multiply
    5,056.68x = 6,976.18 × 3,287.64
  4. Step 4: Simplify right side
    5,056.68x = 22,935,168.42
  5. Step 5: Solve for x
    x = 22,935,168.42/5,056.68
  6. Step 6: Final answer
    x = 4,535.62

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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.