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Finding the Fourth Proportional to 5,149.84, 7,106.28 and 3,053.56

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Solution

The fourth proportional to 5,149.84, 7,106.28 and 3,053.56 is: 4,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.84 : 7,106.28 = 3,053.56 : x
  2. Step 2: Convert to fraction form
    5,149.84/7,106.28 = 3,053.56/x
  3. Step 3: Cross multiply
    5,149.84x = 7,106.28 × 3,053.56
  4. Step 4: Simplify right side
    5,149.84x = 21,699,452.36
  5. Step 5: Solve for x
    x = 21,699,452.36/5,149.84
  6. Step 6: Final answer
    x = 4,213.62

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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.