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Finding the Fourth Proportional to 6,001.96, 8,282.63 and 3,313.20

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Solution

The fourth proportional to 6,001.96, 8,282.63 and 3,313.20 is: 4,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.96 : 8,282.63 = 3,313.20 : x
  2. Step 2: Convert to fraction form
    6,001.96/8,282.63 = 3,313.20/x
  3. Step 3: Cross multiply
    6,001.96x = 8,282.63 × 3,313.20
  4. Step 4: Simplify right side
    6,001.96x = 27,442,009.72
  5. Step 5: Solve for x
    x = 27,442,009.72/6,001.96
  6. Step 6: Final answer
    x = 4,572.17

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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.