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Finding the Fourth Proportional to 4,924.32, 6,793.56 and 3,009.15

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Solution

The fourth proportional to 4,924.32, 6,793.56 and 3,009.15 is: 4,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.32 : 6,793.56 = 3,009.15 : x
  2. Step 2: Convert to fraction form
    4,924.32/6,793.56 = 3,009.15/x
  3. Step 3: Cross multiply
    4,924.32x = 6,793.56 × 3,009.15
  4. Step 4: Simplify right side
    4,924.32x = 20,442,841.07
  5. Step 5: Solve for x
    x = 20,442,841.07/4,924.32
  6. Step 6: Final answer
    x = 4,151.40

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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.