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Finding the Fourth Proportional to 5,411.91, 7,468.43 and 2,927.91

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Solution

The fourth proportional to 5,411.91, 7,468.43 and 2,927.91 is: 4,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.91 : 7,468.43 = 2,927.91 : x
  2. Step 2: Convert to fraction form
    5,411.91/7,468.43 = 2,927.91/x
  3. Step 3: Cross multiply
    5,411.91x = 7,468.43 × 2,927.91
  4. Step 4: Simplify right side
    5,411.91x = 21,866,890.88
  5. Step 5: Solve for x
    x = 21,866,890.88/5,411.91
  6. Step 6: Final answer
    x = 4,040.51

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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.