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Finding the Fourth Proportional to 3,697.32, 5,558.81 and 2,972.01

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Solution

The fourth proportional to 3,697.32, 5,558.81 and 2,972.01 is: 4,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.32 : 5,558.81 = 2,972.01 : x
  2. Step 2: Convert to fraction form
    3,697.32/5,558.81 = 2,972.01/x
  3. Step 3: Cross multiply
    3,697.32x = 5,558.81 × 2,972.01
  4. Step 4: Simplify right side
    3,697.32x = 16,520,824.05
  5. Step 5: Solve for x
    x = 16,520,824.05/3,697.32
  6. Step 6: Final answer
    x = 4,468.32

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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.