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Finding the Fourth Proportional to 5,056.38, 6,978.49 and 3,066.62

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Solution

The fourth proportional to 5,056.38, 6,978.49 and 3,066.62 is: 4,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.38 : 6,978.49 = 3,066.62 : x
  2. Step 2: Convert to fraction form
    5,056.38/6,978.49 = 3,066.62/x
  3. Step 3: Cross multiply
    5,056.38x = 6,978.49 × 3,066.62
  4. Step 4: Simplify right side
    5,056.38x = 21,400,334.44
  5. Step 5: Solve for x
    x = 21,400,334.44/5,056.38
  6. Step 6: Final answer
    x = 4,232.34

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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.