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Finding the Fourth Proportional to 5,200.30, 7,807.65 and 4,105.90

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Solution

The fourth proportional to 5,200.30, 7,807.65 and 4,105.90 is: 6,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.30 : 7,807.65 = 4,105.90 : x
  2. Step 2: Convert to fraction form
    5,200.30/7,807.65 = 4,105.90/x
  3. Step 3: Cross multiply
    5,200.30x = 7,807.65 × 4,105.90
  4. Step 4: Simplify right side
    5,200.30x = 32,057,430.14
  5. Step 5: Solve for x
    x = 32,057,430.14/5,200.30
  6. Step 6: Final answer
    x = 6,164.53

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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.