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Finding the Fourth Proportional to 5,149.44, 7,106.31 and 3,024.45

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Solution

The fourth proportional to 5,149.44, 7,106.31 and 3,024.45 is: 4,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.44 : 7,106.31 = 3,024.45 : x
  2. Step 2: Convert to fraction form
    5,149.44/7,106.31 = 3,024.45/x
  3. Step 3: Cross multiply
    5,149.44x = 7,106.31 × 3,024.45
  4. Step 4: Simplify right side
    5,149.44x = 21,492,679.28
  5. Step 5: Solve for x
    x = 21,492,679.28/5,149.44
  6. Step 6: Final answer
    x = 4,173.79

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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.