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Finding the Fourth Proportional to 4,195.88, 5,789.84 and 3,356.28

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Solution

The fourth proportional to 4,195.88, 5,789.84 and 3,356.28 is: 4,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.88 : 5,789.84 = 3,356.28 : x
  2. Step 2: Convert to fraction form
    4,195.88/5,789.84 = 3,356.28/x
  3. Step 3: Cross multiply
    4,195.88x = 5,789.84 × 3,356.28
  4. Step 4: Simplify right side
    4,195.88x = 19,432,307.41
  5. Step 5: Solve for x
    x = 19,432,307.41/4,195.88
  6. Step 6: Final answer
    x = 4,631.28

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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.