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Finding the Fourth Proportional to 4,568.16, 6,857.10 and 2,838

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Solution

The fourth proportional to 4,568.16, 6,857.10 and 2,838 is: 4,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.16 : 6,857.10 = 2,838 : x
  2. Step 2: Convert to fraction form
    4,568.16/6,857.10 = 2,838/x
  3. Step 3: Cross multiply
    4,568.16x = 6,857.10 × 2,838
  4. Step 4: Simplify right side
    4,568.16x = 19,460,449.80
  5. Step 5: Solve for x
    x = 19,460,449.80/4,568.16
  6. Step 6: Final answer
    x = 4,260.02

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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.