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Finding the Fourth Proportional to 4,658.73, 6,429.96 and 2,670.62

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Solution

The fourth proportional to 4,658.73, 6,429.96 and 2,670.62 is: 3,685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.73 : 6,429.96 = 2,670.62 : x
  2. Step 2: Convert to fraction form
    4,658.73/6,429.96 = 2,670.62/x
  3. Step 3: Cross multiply
    4,658.73x = 6,429.96 × 2,670.62
  4. Step 4: Simplify right side
    4,658.73x = 17,171,947.63
  5. Step 5: Solve for x
    x = 17,171,947.63/4,658.73
  6. Step 6: Final answer
    x = 3,685.97

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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.