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Finding the Fourth Proportional to 6,002.51, 8,282.75 and 3,349.76

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Solution

The fourth proportional to 6,002.51, 8,282.75 and 3,349.76 is: 4,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.51 : 8,282.75 = 3,349.76 : x
  2. Step 2: Convert to fraction form
    6,002.51/8,282.75 = 3,349.76/x
  3. Step 3: Cross multiply
    6,002.51x = 8,282.75 × 3,349.76
  4. Step 4: Simplify right side
    6,002.51x = 27,745,224.64
  5. Step 5: Solve for x
    x = 27,745,224.64/6,002.51
  6. Step 6: Final answer
    x = 4,622.27

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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.