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Finding the Fourth Proportional to 5,267.83, 7,933 and 4,691.11

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Solution

The fourth proportional to 5,267.83, 7,933 and 4,691.11 is: 7,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.83 : 7,933 = 4,691.11 : x
  2. Step 2: Convert to fraction form
    5,267.83/7,933 = 4,691.11/x
  3. Step 3: Cross multiply
    5,267.83x = 7,933 × 4,691.11
  4. Step 4: Simplify right side
    5,267.83x = 37,214,575.63
  5. Step 5: Solve for x
    x = 37,214,575.63/5,267.83
  6. Step 6: Final answer
    x = 7,064.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.