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Finding the Fourth Proportional to 3,697.96, 5,101.62 and 2,371.24

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Solution

The fourth proportional to 3,697.96, 5,101.62 and 2,371.24 is: 3,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.96 : 5,101.62 = 2,371.24 : x
  2. Step 2: Convert to fraction form
    3,697.96/5,101.62 = 2,371.24/x
  3. Step 3: Cross multiply
    3,697.96x = 5,101.62 × 2,371.24
  4. Step 4: Simplify right side
    3,697.96x = 12,097,165.41
  5. Step 5: Solve for x
    x = 12,097,165.41/3,697.96
  6. Step 6: Final answer
    x = 3,271.31

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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.