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Finding the Fourth Proportional to 5,281.66, 7,923.93 and 2,202.94

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Solution

The fourth proportional to 5,281.66, 7,923.93 and 2,202.94 is: 3,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.66 : 7,923.93 = 2,202.94 : x
  2. Step 2: Convert to fraction form
    5,281.66/7,923.93 = 2,202.94/x
  3. Step 3: Cross multiply
    5,281.66x = 7,923.93 × 2,202.94
  4. Step 4: Simplify right side
    5,281.66x = 17,455,942.35
  5. Step 5: Solve for x
    x = 17,455,942.35/5,281.66
  6. Step 6: Final answer
    x = 3,305.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.