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Finding the Fourth Proportional to 6,466.90, 8,924.32 and 3,672.40

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Solution

The fourth proportional to 6,466.90, 8,924.32 and 3,672.40 is: 5,067.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.90 : 8,924.32 = 3,672.40 : x
  2. Step 2: Convert to fraction form
    6,466.90/8,924.32 = 3,672.40/x
  3. Step 3: Cross multiply
    6,466.90x = 8,924.32 × 3,672.40
  4. Step 4: Simplify right side
    6,466.90x = 32,773,628.15
  5. Step 5: Solve for x
    x = 32,773,628.15/6,466.90
  6. Step 6: Final answer
    x = 5,067.91

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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.