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Finding the Fourth Proportional to 5,173.87, 7,756.39 and 2,053.15

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Solution

The fourth proportional to 5,173.87, 7,756.39 and 2,053.15 is: 3,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.87 : 7,756.39 = 2,053.15 : x
  2. Step 2: Convert to fraction form
    5,173.87/7,756.39 = 2,053.15/x
  3. Step 3: Cross multiply
    5,173.87x = 7,756.39 × 2,053.15
  4. Step 4: Simplify right side
    5,173.87x = 15,925,032.13
  5. Step 5: Solve for x
    x = 15,925,032.13/5,173.87
  6. Step 6: Final answer
    x = 3,077.97

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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.