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Finding the Fourth Proportional to 4,626.28, 6,920.99 and 4,017.16

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Solution

The fourth proportional to 4,626.28, 6,920.99 and 4,017.16 is: 6,009.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.28 : 6,920.99 = 4,017.16 : x
  2. Step 2: Convert to fraction form
    4,626.28/6,920.99 = 4,017.16/x
  3. Step 3: Cross multiply
    4,626.28x = 6,920.99 × 4,017.16
  4. Step 4: Simplify right side
    4,626.28x = 27,802,724.19
  5. Step 5: Solve for x
    x = 27,802,724.19/4,626.28
  6. Step 6: Final answer
    x = 6,009.74

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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.