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Finding the Fourth Proportional to 4,778.30, 7,164.19 and 2,433.77

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Solution

The fourth proportional to 4,778.30, 7,164.19 and 2,433.77 is: 3,648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.30 : 7,164.19 = 2,433.77 : x
  2. Step 2: Convert to fraction form
    4,778.30/7,164.19 = 2,433.77/x
  3. Step 3: Cross multiply
    4,778.30x = 7,164.19 × 2,433.77
  4. Step 4: Simplify right side
    4,778.30x = 17,435,984.53
  5. Step 5: Solve for x
    x = 17,435,984.53/4,778.30
  6. Step 6: Final answer
    x = 3,648.99

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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.