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Finding the Fourth Proportional to 6,208.16, 9,311.18 and 2,048.22

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Solution

The fourth proportional to 6,208.16, 9,311.18 and 2,048.22 is: 3,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.16 : 9,311.18 = 2,048.22 : x
  2. Step 2: Convert to fraction form
    6,208.16/9,311.18 = 2,048.22/x
  3. Step 3: Cross multiply
    6,208.16x = 9,311.18 × 2,048.22
  4. Step 4: Simplify right side
    6,208.16x = 19,071,334.86
  5. Step 5: Solve for x
    x = 19,071,334.86/6,208.16
  6. Step 6: Final answer
    x = 3,071.98

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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.