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Finding the Fourth Proportional to 5,591, 7,712.37 and 3,491.48

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Solution

The fourth proportional to 5,591, 7,712.37 and 3,491.48 is: 4,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591 : 7,712.37 = 3,491.48 : x
  2. Step 2: Convert to fraction form
    5,591/7,712.37 = 3,491.48/x
  3. Step 3: Cross multiply
    5,591x = 7,712.37 × 3,491.48
  4. Step 4: Simplify right side
    5,591x = 26,927,585.61
  5. Step 5: Solve for x
    x = 26,927,585.61/5,591
  6. Step 6: Final answer
    x = 4,816.24

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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.