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Finding the Fourth Proportional to 5,056.49, 6,978.19 and 2,818.38

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Solution

The fourth proportional to 5,056.49, 6,978.19 and 2,818.38 is: 3,889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.49 : 6,978.19 = 2,818.38 : x
  2. Step 2: Convert to fraction form
    5,056.49/6,978.19 = 2,818.38/x
  3. Step 3: Cross multiply
    5,056.49x = 6,978.19 × 2,818.38
  4. Step 4: Simplify right side
    5,056.49x = 19,667,145.67
  5. Step 5: Solve for x
    x = 19,667,145.67/5,056.49
  6. Step 6: Final answer
    x = 3,889.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.