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Finding the Fourth Proportional to 5,212.92, 7,202.84 and 5,026.08

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Solution

The fourth proportional to 5,212.92, 7,202.84 and 5,026.08 is: 6,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.92 : 7,202.84 = 5,026.08 : x
  2. Step 2: Convert to fraction form
    5,212.92/7,202.84 = 5,026.08/x
  3. Step 3: Cross multiply
    5,212.92x = 7,202.84 × 5,026.08
  4. Step 4: Simplify right side
    5,212.92x = 36,202,050.07
  5. Step 5: Solve for x
    x = 36,202,050.07/5,212.92
  6. Step 6: Final answer
    x = 6,944.68

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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.