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Finding the Fourth Proportional to 5,622.60, 8,433.90 and 5,200.20

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Solution

The fourth proportional to 5,622.60, 8,433.90 and 5,200.20 is: 7,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.60 : 8,433.90 = 5,200.20 : x
  2. Step 2: Convert to fraction form
    5,622.60/8,433.90 = 5,200.20/x
  3. Step 3: Cross multiply
    5,622.60x = 8,433.90 × 5,200.20
  4. Step 4: Simplify right side
    5,622.60x = 43,857,966.78
  5. Step 5: Solve for x
    x = 43,857,966.78/5,622.60
  6. Step 6: Final answer
    x = 7,800.30

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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.