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Finding the Fourth Proportional to 5,149.37, 7,104.93 and 3,024.78

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Solution

The fourth proportional to 5,149.37, 7,104.93 and 3,024.78 is: 4,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.37 : 7,104.93 = 3,024.78 : x
  2. Step 2: Convert to fraction form
    5,149.37/7,104.93 = 3,024.78/x
  3. Step 3: Cross multiply
    5,149.37x = 7,104.93 × 3,024.78
  4. Step 4: Simplify right side
    5,149.37x = 21,490,850.17
  5. Step 5: Solve for x
    x = 21,490,850.17/5,149.37
  6. Step 6: Final answer
    x = 4,173.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.