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Finding the Fourth Proportional to 5,329.49, 7,994.23 and 1,631.77

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Solution

The fourth proportional to 5,329.49, 7,994.23 and 1,631.77 is: 2,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.49 : 7,994.23 = 1,631.77 : x
  2. Step 2: Convert to fraction form
    5,329.49/7,994.23 = 1,631.77/x
  3. Step 3: Cross multiply
    5,329.49x = 7,994.23 × 1,631.77
  4. Step 4: Simplify right side
    5,329.49x = 13,044,720.62
  5. Step 5: Solve for x
    x = 13,044,720.62/5,329.49
  6. Step 6: Final answer
    x = 2,447.65

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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.