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Finding the Fourth Proportional to 4,616.28, 6,949.08 and 4,140

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Solution

The fourth proportional to 4,616.28, 6,949.08 and 4,140 is: 6,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.28 : 6,949.08 = 4,140 : x
  2. Step 2: Convert to fraction form
    4,616.28/6,949.08 = 4,140/x
  3. Step 3: Cross multiply
    4,616.28x = 6,949.08 × 4,140
  4. Step 4: Simplify right side
    4,616.28x = 28,769,191.20
  5. Step 5: Solve for x
    x = 28,769,191.20/4,616.28
  6. Step 6: Final answer
    x = 6,232.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.