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Finding the Fourth Proportional to 6,000.46, 8,985.30 and 4,149.02

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Solution

The fourth proportional to 6,000.46, 8,985.30 and 4,149.02 is: 6,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.46 : 8,985.30 = 4,149.02 : x
  2. Step 2: Convert to fraction form
    6,000.46/8,985.30 = 4,149.02/x
  3. Step 3: Cross multiply
    6,000.46x = 8,985.30 × 4,149.02
  4. Step 4: Simplify right side
    6,000.46x = 37,280,189.41
  5. Step 5: Solve for x
    x = 37,280,189.41/6,000.46
  6. Step 6: Final answer
    x = 6,212.89

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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.