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Finding the Fourth Proportional to 4,965.71, 7,446.51 and 2,115

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Solution

The fourth proportional to 4,965.71, 7,446.51 and 2,115 is: 3,171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.71 : 7,446.51 = 2,115 : x
  2. Step 2: Convert to fraction form
    4,965.71/7,446.51 = 2,115/x
  3. Step 3: Cross multiply
    4,965.71x = 7,446.51 × 2,115
  4. Step 4: Simplify right side
    4,965.71x = 15,749,368.65
  5. Step 5: Solve for x
    x = 15,749,368.65/4,965.71
  6. Step 6: Final answer
    x = 3,171.63

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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.