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Finding the Fourth Proportional to 6,464.60, 8,921.13 and 3,632

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Solution

The fourth proportional to 6,464.60, 8,921.13 and 3,632 is: 5,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.60 : 8,921.13 = 3,632 : x
  2. Step 2: Convert to fraction form
    6,464.60/8,921.13 = 3,632/x
  3. Step 3: Cross multiply
    6,464.60x = 8,921.13 × 3,632
  4. Step 4: Simplify right side
    6,464.60x = 32,401,544.16
  5. Step 5: Solve for x
    x = 32,401,544.16/6,464.60
  6. Step 6: Final answer
    x = 5,012.15

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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.