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Finding the Fourth Proportional to 5,800.30, 8,005.24 and 3,816.61

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Solution

The fourth proportional to 5,800.30, 8,005.24 and 3,816.61 is: 5,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.30 : 8,005.24 = 3,816.61 : x
  2. Step 2: Convert to fraction form
    5,800.30/8,005.24 = 3,816.61/x
  3. Step 3: Cross multiply
    5,800.30x = 8,005.24 × 3,816.61
  4. Step 4: Simplify right side
    5,800.30x = 30,552,879.04
  5. Step 5: Solve for x
    x = 30,552,879.04/5,800.30
  6. Step 6: Final answer
    x = 5,267.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.