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Finding the Fourth Proportional to 4,792.14, 7,188 and 1,329.42

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Solution

The fourth proportional to 4,792.14, 7,188 and 1,329.42 is: 1,994.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.14 : 7,188 = 1,329.42 : x
  2. Step 2: Convert to fraction form
    4,792.14/7,188 = 1,329.42/x
  3. Step 3: Cross multiply
    4,792.14x = 7,188 × 1,329.42
  4. Step 4: Simplify right side
    4,792.14x = 9,555,870.96
  5. Step 5: Solve for x
    x = 9,555,870.96/4,792.14
  6. Step 6: Final answer
    x = 1,994.07

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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.