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Finding the Fourth Proportional to 4,216.32, 6,329.88 and 3,069.36

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Solution

The fourth proportional to 4,216.32, 6,329.88 and 3,069.36 is: 4,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.32 : 6,329.88 = 3,069.36 : x
  2. Step 2: Convert to fraction form
    4,216.32/6,329.88 = 3,069.36/x
  3. Step 3: Cross multiply
    4,216.32x = 6,329.88 × 3,069.36
  4. Step 4: Simplify right side
    4,216.32x = 19,428,680.48
  5. Step 5: Solve for x
    x = 19,428,680.48/4,216.32
  6. Step 6: Final answer
    x = 4,607.97

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