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Finding the Fourth Proportional to 4,874.57, 7,311.81 and 1,176.78

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Solution

The fourth proportional to 4,874.57, 7,311.81 and 1,176.78 is: 1,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.57 : 7,311.81 = 1,176.78 : x
  2. Step 2: Convert to fraction form
    4,874.57/7,311.81 = 1,176.78/x
  3. Step 3: Cross multiply
    4,874.57x = 7,311.81 × 1,176.78
  4. Step 4: Simplify right side
    4,874.57x = 8,604,391.77
  5. Step 5: Solve for x
    x = 8,604,391.77/4,874.57
  6. Step 6: Final answer
    x = 1,765.16

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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.