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Finding the Fourth Proportional to 5,200.35, 7,798.20 and 1,501.70

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Solution

The fourth proportional to 5,200.35, 7,798.20 and 1,501.70 is: 2,251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.35 : 7,798.20 = 1,501.70 : x
  2. Step 2: Convert to fraction form
    5,200.35/7,798.20 = 1,501.70/x
  3. Step 3: Cross multiply
    5,200.35x = 7,798.20 × 1,501.70
  4. Step 4: Simplify right side
    5,200.35x = 11,710,556.94
  5. Step 5: Solve for x
    x = 11,710,556.94/5,200.35
  6. Step 6: Final answer
    x = 2,251.88

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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.