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Finding the Fourth Proportional to 5,730.08, 8,571.38 and 5,380.16

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Solution

The fourth proportional to 5,730.08, 8,571.38 and 5,380.16 is: 8,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.08 : 8,571.38 = 5,380.16 : x
  2. Step 2: Convert to fraction form
    5,730.08/8,571.38 = 5,380.16/x
  3. Step 3: Cross multiply
    5,730.08x = 8,571.38 × 5,380.16
  4. Step 4: Simplify right side
    5,730.08x = 46,115,395.82
  5. Step 5: Solve for x
    x = 46,115,395.82/5,730.08
  6. Step 6: Final answer
    x = 8,047.95

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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.