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Finding the Fourth Proportional to 5,149.02, 7,709.86 and 4,101.99

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Solution

The fourth proportional to 5,149.02, 7,709.86 and 4,101.99 is: 6,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.02 : 7,709.86 = 4,101.99 : x
  2. Step 2: Convert to fraction form
    5,149.02/7,709.86 = 4,101.99/x
  3. Step 3: Cross multiply
    5,149.02x = 7,709.86 × 4,101.99
  4. Step 4: Simplify right side
    5,149.02x = 31,625,776.67
  5. Step 5: Solve for x
    x = 31,625,776.67/5,149.02
  6. Step 6: Final answer
    x = 6,142.10

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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.