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Finding the Fourth Proportional to 6,158.08, 9,240 and 3,563.20

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Solution

The fourth proportional to 6,158.08, 9,240 and 3,563.20 is: 5,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.08 : 9,240 = 3,563.20 : x
  2. Step 2: Convert to fraction form
    6,158.08/9,240 = 3,563.20/x
  3. Step 3: Cross multiply
    6,158.08x = 9,240 × 3,563.20
  4. Step 4: Simplify right side
    6,158.08x = 32,923,968
  5. Step 5: Solve for x
    x = 32,923,968/6,158.08
  6. Step 6: Final answer
    x = 5,346.47

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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.