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Finding the Fourth Proportional to 5,270.83, 7,860.43 and 5,200.21

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Solution

The fourth proportional to 5,270.83, 7,860.43 and 5,200.21 is: 7,755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.83 : 7,860.43 = 5,200.21 : x
  2. Step 2: Convert to fraction form
    5,270.83/7,860.43 = 5,200.21/x
  3. Step 3: Cross multiply
    5,270.83x = 7,860.43 × 5,200.21
  4. Step 4: Simplify right side
    5,270.83x = 40,875,886.69
  5. Step 5: Solve for x
    x = 40,875,886.69/5,270.83
  6. Step 6: Final answer
    x = 7,755.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.