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Finding the Fourth Proportional to 5,091.91, 7,653.15 and 4,220.15

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Solution

The fourth proportional to 5,091.91, 7,653.15 and 4,220.15 is: 6,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.91 : 7,653.15 = 4,220.15 : x
  2. Step 2: Convert to fraction form
    5,091.91/7,653.15 = 4,220.15/x
  3. Step 3: Cross multiply
    5,091.91x = 7,653.15 × 4,220.15
  4. Step 4: Simplify right side
    5,091.91x = 32,297,402.71
  5. Step 5: Solve for x
    x = 32,297,402.71/5,091.91
  6. Step 6: Final answer
    x = 6,342.89

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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.