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Finding the Fourth Proportional to 6,449.17, 8,900.21 and 3,617.46

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Solution

The fourth proportional to 6,449.17, 8,900.21 and 3,617.46 is: 4,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.17 : 8,900.21 = 3,617.46 : x
  2. Step 2: Convert to fraction form
    6,449.17/8,900.21 = 3,617.46/x
  3. Step 3: Cross multiply
    6,449.17x = 8,900.21 × 3,617.46
  4. Step 4: Simplify right side
    6,449.17x = 32,196,162.71
  5. Step 5: Solve for x
    x = 32,196,162.71/6,449.17
  6. Step 6: Final answer
    x = 4,992.30

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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.