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Finding the Fourth Proportional to 6,449.70, 8,900.46 and 4,207.32

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Solution

The fourth proportional to 6,449.70, 8,900.46 and 4,207.32 is: 5,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.70 : 8,900.46 = 4,207.32 : x
  2. Step 2: Convert to fraction form
    6,449.70/8,900.46 = 4,207.32/x
  3. Step 3: Cross multiply
    6,449.70x = 8,900.46 × 4,207.32
  4. Step 4: Simplify right side
    6,449.70x = 37,447,083.37
  5. Step 5: Solve for x
    x = 37,447,083.37/6,449.70
  6. Step 6: Final answer
    x = 5,806.02

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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.