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Finding the Fourth Proportional to 4,660.82, 6,431.76 and 2,844.70

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Solution

The fourth proportional to 4,660.82, 6,431.76 and 2,844.70 is: 3,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.82 : 6,431.76 = 2,844.70 : x
  2. Step 2: Convert to fraction form
    4,660.82/6,431.76 = 2,844.70/x
  3. Step 3: Cross multiply
    4,660.82x = 6,431.76 × 2,844.70
  4. Step 4: Simplify right side
    4,660.82x = 18,296,427.67
  5. Step 5: Solve for x
    x = 18,296,427.67/4,660.82
  6. Step 6: Final answer
    x = 3,925.58

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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.