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Finding the Fourth Proportional to 6,002.04, 8,282.80 and 3,349.42

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Solution

The fourth proportional to 6,002.04, 8,282.80 and 3,349.42 is: 4,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.04 : 8,282.80 = 3,349.42 : x
  2. Step 2: Convert to fraction form
    6,002.04/8,282.80 = 3,349.42/x
  3. Step 3: Cross multiply
    6,002.04x = 8,282.80 × 3,349.42
  4. Step 4: Simplify right side
    6,002.04x = 27,742,575.98
  5. Step 5: Solve for x
    x = 27,742,575.98/6,002.04
  6. Step 6: Final answer
    x = 4,622.19

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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.