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Finding the Fourth Proportional to 5,917.50, 8,871.57 and 2,954.42

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Solution

The fourth proportional to 5,917.50, 8,871.57 and 2,954.42 is: 4,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.50 : 8,871.57 = 2,954.42 : x
  2. Step 2: Convert to fraction form
    5,917.50/8,871.57 = 2,954.42/x
  3. Step 3: Cross multiply
    5,917.50x = 8,871.57 × 2,954.42
  4. Step 4: Simplify right side
    5,917.50x = 26,210,343.84
  5. Step 5: Solve for x
    x = 26,210,343.84/5,917.50
  6. Step 6: Final answer
    x = 4,429.29

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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.