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Finding the Fourth Proportional to 4,934.21, 7,394.31 and 4,347.96

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Solution

The fourth proportional to 4,934.21, 7,394.31 and 4,347.96 is: 6,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.21 : 7,394.31 = 4,347.96 : x
  2. Step 2: Convert to fraction form
    4,934.21/7,394.31 = 4,347.96/x
  3. Step 3: Cross multiply
    4,934.21x = 7,394.31 × 4,347.96
  4. Step 4: Simplify right side
    4,934.21x = 32,150,164.11
  5. Step 5: Solve for x
    x = 32,150,164.11/4,934.21
  6. Step 6: Final answer
    x = 6,515.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.