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Finding the Fourth Proportional to 5,091.70, 7,622.96 and 3,130.69

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Solution

The fourth proportional to 5,091.70, 7,622.96 and 3,130.69 is: 4,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.70 : 7,622.96 = 3,130.69 : x
  2. Step 2: Convert to fraction form
    5,091.70/7,622.96 = 3,130.69/x
  3. Step 3: Cross multiply
    5,091.70x = 7,622.96 × 3,130.69
  4. Step 4: Simplify right side
    5,091.70x = 23,865,124.64
  5. Step 5: Solve for x
    x = 23,865,124.64/5,091.70
  6. Step 6: Final answer
    x = 4,687.06

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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.