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Finding the Fourth Proportional to 5,068.28, 6,993.86 and 2,972

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Solution

The fourth proportional to 5,068.28, 6,993.86 and 2,972 is: 4,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.28 : 6,993.86 = 2,972 : x
  2. Step 2: Convert to fraction form
    5,068.28/6,993.86 = 2,972/x
  3. Step 3: Cross multiply
    5,068.28x = 6,993.86 × 2,972
  4. Step 4: Simplify right side
    5,068.28x = 20,785,751.92
  5. Step 5: Solve for x
    x = 20,785,751.92/5,068.28
  6. Step 6: Final answer
    x = 4,101.15

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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.