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Finding the Fourth Proportional to 5,206.68, 7,809.50 and 2,865.92

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Solution

The fourth proportional to 5,206.68, 7,809.50 and 2,865.92 is: 4,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.68 : 7,809.50 = 2,865.92 : x
  2. Step 2: Convert to fraction form
    5,206.68/7,809.50 = 2,865.92/x
  3. Step 3: Cross multiply
    5,206.68x = 7,809.50 × 2,865.92
  4. Step 4: Simplify right side
    5,206.68x = 22,381,348.86
  5. Step 5: Solve for x
    x = 22,381,348.86/5,206.68
  6. Step 6: Final answer
    x = 4,298.58

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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.