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Finding the Fourth Proportional to 6,002.12, 8,281.98 and 3,349.40

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Solution

The fourth proportional to 6,002.12, 8,281.98 and 3,349.40 is: 4,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.12 : 8,281.98 = 3,349.40 : x
  2. Step 2: Convert to fraction form
    6,002.12/8,281.98 = 3,349.40/x
  3. Step 3: Cross multiply
    6,002.12x = 8,281.98 × 3,349.40
  4. Step 4: Simplify right side
    6,002.12x = 27,739,663.81
  5. Step 5: Solve for x
    x = 27,739,663.81/6,002.12
  6. Step 6: Final answer
    x = 4,621.64

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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.