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Finding the Fourth Proportional to 6,464.32, 8,921.52 and 3,670.24

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Solution

The fourth proportional to 6,464.32, 8,921.52 and 3,670.24 is: 5,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.32 : 8,921.52 = 3,670.24 : x
  2. Step 2: Convert to fraction form
    6,464.32/8,921.52 = 3,670.24/x
  3. Step 3: Cross multiply
    6,464.32x = 8,921.52 × 3,670.24
  4. Step 4: Simplify right side
    6,464.32x = 32,744,119.56
  5. Step 5: Solve for x
    x = 32,744,119.56/6,464.32
  6. Step 6: Final answer
    x = 5,065.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.