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Finding the Fourth Proportional to 4,800.83, 7,202.37 and 1,513.85

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Solution

The fourth proportional to 4,800.83, 7,202.37 and 1,513.85 is: 2,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.83 : 7,202.37 = 1,513.85 : x
  2. Step 2: Convert to fraction form
    4,800.83/7,202.37 = 1,513.85/x
  3. Step 3: Cross multiply
    4,800.83x = 7,202.37 × 1,513.85
  4. Step 4: Simplify right side
    4,800.83x = 10,903,271.81
  5. Step 5: Solve for x
    x = 10,903,271.81/4,800.83
  6. Step 6: Final answer
    x = 2,271.12

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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.