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Finding the Fourth Proportional to 5,200.65, 7,800.98 and 4,799.70

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Solution

The fourth proportional to 5,200.65, 7,800.98 and 4,799.70 is: 7,199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.65 : 7,800.98 = 4,799.70 : x
  2. Step 2: Convert to fraction form
    5,200.65/7,800.98 = 4,799.70/x
  3. Step 3: Cross multiply
    5,200.65x = 7,800.98 × 4,799.70
  4. Step 4: Simplify right side
    5,200.65x = 37,442,339.71
  5. Step 5: Solve for x
    x = 37,442,339.71/5,200.65
  6. Step 6: Final answer
    x = 7,199.55

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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.