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Finding the Fourth Proportional to 5,630.27, 8,430.01 and 4,071.83

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Solution

The fourth proportional to 5,630.27, 8,430.01 and 4,071.83 is: 6,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.27 : 8,430.01 = 4,071.83 : x
  2. Step 2: Convert to fraction form
    5,630.27/8,430.01 = 4,071.83/x
  3. Step 3: Cross multiply
    5,630.27x = 8,430.01 × 4,071.83
  4. Step 4: Simplify right side
    5,630.27x = 34,325,515.29
  5. Step 5: Solve for x
    x = 34,325,515.29/5,630.27
  6. Step 6: Final answer
    x = 6,096.61

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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.