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Finding the Fourth Proportional to 4,237.64, 6,355.50 and 1,464.20

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Solution

The fourth proportional to 4,237.64, 6,355.50 and 1,464.20 is: 2,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.64 : 6,355.50 = 1,464.20 : x
  2. Step 2: Convert to fraction form
    4,237.64/6,355.50 = 1,464.20/x
  3. Step 3: Cross multiply
    4,237.64x = 6,355.50 × 1,464.20
  4. Step 4: Simplify right side
    4,237.64x = 9,305,723.10
  5. Step 5: Solve for x
    x = 9,305,723.10/4,237.64
  6. Step 6: Final answer
    x = 2,195.97

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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.