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Finding the Fourth Proportional to 4,800.24, 7,202.79 and 3,417.57

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Solution

The fourth proportional to 4,800.24, 7,202.79 and 3,417.57 is: 5,128.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.24 : 7,202.79 = 3,417.57 : x
  2. Step 2: Convert to fraction form
    4,800.24/7,202.79 = 3,417.57/x
  3. Step 3: Cross multiply
    4,800.24x = 7,202.79 × 3,417.57
  4. Step 4: Simplify right side
    4,800.24x = 24,616,039.02
  5. Step 5: Solve for x
    x = 24,616,039.02/4,800.24
  6. Step 6: Final answer
    x = 5,128.09

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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.