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Finding the Fourth Proportional to 4,774.62, 7,154.23 and 2,584.38

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Solution

The fourth proportional to 4,774.62, 7,154.23 and 2,584.38 is: 3,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.62 : 7,154.23 = 2,584.38 : x
  2. Step 2: Convert to fraction form
    4,774.62/7,154.23 = 2,584.38/x
  3. Step 3: Cross multiply
    4,774.62x = 7,154.23 × 2,584.38
  4. Step 4: Simplify right side
    4,774.62x = 18,489,248.93
  5. Step 5: Solve for x
    x = 18,489,248.93/4,774.62
  6. Step 6: Final answer
    x = 3,872.40

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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.