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Finding the Fourth Proportional to 4,715.67, 7,071.42 and 2,374.21

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Solution

The fourth proportional to 4,715.67, 7,071.42 and 2,374.21 is: 3,560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.67 : 7,071.42 = 2,374.21 : x
  2. Step 2: Convert to fraction form
    4,715.67/7,071.42 = 2,374.21/x
  3. Step 3: Cross multiply
    4,715.67x = 7,071.42 × 2,374.21
  4. Step 4: Simplify right side
    4,715.67x = 16,789,036.08
  5. Step 5: Solve for x
    x = 16,789,036.08/4,715.67
  6. Step 6: Final answer
    x = 3,560.27

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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.