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Finding the Fourth Proportional to 6,405.58, 9,604.87 and 2,891.46

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Solution

The fourth proportional to 6,405.58, 9,604.87 and 2,891.46 is: 4,335.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.58 : 9,604.87 = 2,891.46 : x
  2. Step 2: Convert to fraction form
    6,405.58/9,604.87 = 2,891.46/x
  3. Step 3: Cross multiply
    6,405.58x = 9,604.87 × 2,891.46
  4. Step 4: Simplify right side
    6,405.58x = 27,772,090.18
  5. Step 5: Solve for x
    x = 27,772,090.18/6,405.58
  6. Step 6: Final answer
    x = 4,335.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.