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Finding the Fourth Proportional to 5,071.16, 6,998.28 and 2,975.96

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Solution

The fourth proportional to 5,071.16, 6,998.28 and 2,975.96 is: 4,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.16 : 6,998.28 = 2,975.96 : x
  2. Step 2: Convert to fraction form
    5,071.16/6,998.28 = 2,975.96/x
  3. Step 3: Cross multiply
    5,071.16x = 6,998.28 × 2,975.96
  4. Step 4: Simplify right side
    5,071.16x = 20,826,601.35
  5. Step 5: Solve for x
    x = 20,826,601.35/5,071.16
  6. Step 6: Final answer
    x = 4,106.87

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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.