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Finding the Fourth Proportional to 4,573.71, 6,859.96 and 1,942.27

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Solution

The fourth proportional to 4,573.71, 6,859.96 and 1,942.27 is: 2,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.71 : 6,859.96 = 1,942.27 : x
  2. Step 2: Convert to fraction form
    4,573.71/6,859.96 = 1,942.27/x
  3. Step 3: Cross multiply
    4,573.71x = 6,859.96 × 1,942.27
  4. Step 4: Simplify right side
    4,573.71x = 13,323,872.50
  5. Step 5: Solve for x
    x = 13,323,872.50/4,573.71
  6. Step 6: Final answer
    x = 2,913.14

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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.