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Finding the Fourth Proportional to 5,319.87, 7,342.06 and 3,052.03

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Solution

The fourth proportional to 5,319.87, 7,342.06 and 3,052.03 is: 4,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.87 : 7,342.06 = 3,052.03 : x
  2. Step 2: Convert to fraction form
    5,319.87/7,342.06 = 3,052.03/x
  3. Step 3: Cross multiply
    5,319.87x = 7,342.06 × 3,052.03
  4. Step 4: Simplify right side
    5,319.87x = 22,408,187.38
  5. Step 5: Solve for x
    x = 22,408,187.38/5,319.87
  6. Step 6: Final answer
    x = 4,212.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.