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Finding the Fourth Proportional to 4,766.56, 7,152.78 and 2,301.62

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Solution

The fourth proportional to 4,766.56, 7,152.78 and 2,301.62 is: 3,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.56 : 7,152.78 = 2,301.62 : x
  2. Step 2: Convert to fraction form
    4,766.56/7,152.78 = 2,301.62/x
  3. Step 3: Cross multiply
    4,766.56x = 7,152.78 × 2,301.62
  4. Step 4: Simplify right side
    4,766.56x = 16,462,981.50
  5. Step 5: Solve for x
    x = 16,462,981.50/4,766.56
  6. Step 6: Final answer
    x = 3,453.85

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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.