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Finding the Fourth Proportional to 4,362.90, 6,016.32 and 3,417

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Solution

The fourth proportional to 4,362.90, 6,016.32 and 3,417 is: 4,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.90 : 6,016.32 = 3,417 : x
  2. Step 2: Convert to fraction form
    4,362.90/6,016.32 = 3,417/x
  3. Step 3: Cross multiply
    4,362.90x = 6,016.32 × 3,417
  4. Step 4: Simplify right side
    4,362.90x = 20,557,765.44
  5. Step 5: Solve for x
    x = 20,557,765.44/4,362.90
  6. Step 6: Final answer
    x = 4,711.95

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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.