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Finding the Fourth Proportional to 5,765.14, 7,956.93 and 4,520.98

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Solution

The fourth proportional to 5,765.14, 7,956.93 and 4,520.98 is: 6,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.14 : 7,956.93 = 4,520.98 : x
  2. Step 2: Convert to fraction form
    5,765.14/7,956.93 = 4,520.98/x
  3. Step 3: Cross multiply
    5,765.14x = 7,956.93 × 4,520.98
  4. Step 4: Simplify right side
    5,765.14x = 35,973,121.39
  5. Step 5: Solve for x
    x = 35,973,121.39/5,765.14
  6. Step 6: Final answer
    x = 6,239.77

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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.