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Finding the Fourth Proportional to 4,766.85, 7,150.50 and 2,303.74

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Solution

The fourth proportional to 4,766.85, 7,150.50 and 2,303.74 is: 3,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.85 : 7,150.50 = 2,303.74 : x
  2. Step 2: Convert to fraction form
    4,766.85/7,150.50 = 2,303.74/x
  3. Step 3: Cross multiply
    4,766.85x = 7,150.50 × 2,303.74
  4. Step 4: Simplify right side
    4,766.85x = 16,472,845.60
  5. Step 5: Solve for x
    x = 16,472,845.60/4,766.85
  6. Step 6: Final answer
    x = 3,455.71

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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.