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Finding the Fourth Proportional to 5,954.66, 8,215.75 and 4,691.80

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Solution

The fourth proportional to 5,954.66, 8,215.75 and 4,691.80 is: 6,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.66 : 8,215.75 = 4,691.80 : x
  2. Step 2: Convert to fraction form
    5,954.66/8,215.75 = 4,691.80/x
  3. Step 3: Cross multiply
    5,954.66x = 8,215.75 × 4,691.80
  4. Step 4: Simplify right side
    5,954.66x = 38,546,655.85
  5. Step 5: Solve for x
    x = 38,546,655.85/5,954.66
  6. Step 6: Final answer
    x = 6,473.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.