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Finding the Fourth Proportional to 5,825.41, 8,693.34 and 5,202.61

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Solution

The fourth proportional to 5,825.41, 8,693.34 and 5,202.61 is: 7,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.41 : 8,693.34 = 5,202.61 : x
  2. Step 2: Convert to fraction form
    5,825.41/8,693.34 = 5,202.61/x
  3. Step 3: Cross multiply
    5,825.41x = 8,693.34 × 5,202.61
  4. Step 4: Simplify right side
    5,825.41x = 45,228,057.62
  5. Step 5: Solve for x
    x = 45,228,057.62/5,825.41
  6. Step 6: Final answer
    x = 7,763.93

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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.