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Finding the Fourth Proportional to 5,064.60, 6,990 and 3,076.48

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Solution

The fourth proportional to 5,064.60, 6,990 and 3,076.48 is: 4,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.60 : 6,990 = 3,076.48 : x
  2. Step 2: Convert to fraction form
    5,064.60/6,990 = 3,076.48/x
  3. Step 3: Cross multiply
    5,064.60x = 6,990 × 3,076.48
  4. Step 4: Simplify right side
    5,064.60x = 21,504,595.20
  5. Step 5: Solve for x
    x = 21,504,595.20/5,064.60
  6. Step 6: Final answer
    x = 4,246.06

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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.