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Finding the Fourth Proportional to 5,111.16, 7,054.16 and 3,122.88

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Solution

The fourth proportional to 5,111.16, 7,054.16 and 3,122.88 is: 4,310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.16 : 7,054.16 = 3,122.88 : x
  2. Step 2: Convert to fraction form
    5,111.16/7,054.16 = 3,122.88/x
  3. Step 3: Cross multiply
    5,111.16x = 7,054.16 × 3,122.88
  4. Step 4: Simplify right side
    5,111.16x = 22,029,295.18
  5. Step 5: Solve for x
    x = 22,029,295.18/5,111.16
  6. Step 6: Final answer
    x = 4,310.04

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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.