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Finding the Fourth Proportional to 4,868.32, 6,715.94 and 3,189

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Solution

The fourth proportional to 4,868.32, 6,715.94 and 3,189 is: 4,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.32 : 6,715.94 = 3,189 : x
  2. Step 2: Convert to fraction form
    4,868.32/6,715.94 = 3,189/x
  3. Step 3: Cross multiply
    4,868.32x = 6,715.94 × 3,189
  4. Step 4: Simplify right side
    4,868.32x = 21,417,132.66
  5. Step 5: Solve for x
    x = 21,417,132.66/4,868.32
  6. Step 6: Final answer
    x = 4,399.29

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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.