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Finding the Fourth Proportional to 5,206.36, 7,809.03 and 2,865.60

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Solution

The fourth proportional to 5,206.36, 7,809.03 and 2,865.60 is: 4,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.36 : 7,809.03 = 2,865.60 : x
  2. Step 2: Convert to fraction form
    5,206.36/7,809.03 = 2,865.60/x
  3. Step 3: Cross multiply
    5,206.36x = 7,809.03 × 2,865.60
  4. Step 4: Simplify right side
    5,206.36x = 22,377,556.37
  5. Step 5: Solve for x
    x = 22,377,556.37/5,206.36
  6. Step 6: Final answer
    x = 4,298.12

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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.