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Finding the Fourth Proportional to 5,206.57, 7,809.85 and 1,508.80

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Solution

The fourth proportional to 5,206.57, 7,809.85 and 1,508.80 is: 2,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.57 : 7,809.85 = 1,508.80 : x
  2. Step 2: Convert to fraction form
    5,206.57/7,809.85 = 1,508.80/x
  3. Step 3: Cross multiply
    5,206.57x = 7,809.85 × 1,508.80
  4. Step 4: Simplify right side
    5,206.57x = 11,783,501.68
  5. Step 5: Solve for x
    x = 11,783,501.68/5,206.57
  6. Step 6: Final answer
    x = 2,263.20

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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.