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Finding the Fourth Proportional to 3,329.76, 4,994.52 and 864.72

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Solution

The fourth proportional to 3,329.76, 4,994.52 and 864.72 is: 1,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.76 : 4,994.52 = 864.72 : x
  2. Step 2: Convert to fraction form
    3,329.76/4,994.52 = 864.72/x
  3. Step 3: Cross multiply
    3,329.76x = 4,994.52 × 864.72
  4. Step 4: Simplify right side
    3,329.76x = 4,318,861.33
  5. Step 5: Solve for x
    x = 4,318,861.33/3,329.76
  6. Step 6: Final answer
    x = 1,297.05

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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.