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Finding the Fourth Proportional to 4,068.21, 6,104.16 and 4,002.69

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Solution

The fourth proportional to 4,068.21, 6,104.16 and 4,002.69 is: 6,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.21 : 6,104.16 = 4,002.69 : x
  2. Step 2: Convert to fraction form
    4,068.21/6,104.16 = 4,002.69/x
  3. Step 3: Cross multiply
    4,068.21x = 6,104.16 × 4,002.69
  4. Step 4: Simplify right side
    4,068.21x = 24,433,060.19
  5. Step 5: Solve for x
    x = 24,433,060.19/4,068.21
  6. Step 6: Final answer
    x = 6,005.85

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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.