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Finding the Fourth Proportional to 5,574.87, 7,693.42 and 3,056.82

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Solution

The fourth proportional to 5,574.87, 7,693.42 and 3,056.82 is: 4,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.87 : 7,693.42 = 3,056.82 : x
  2. Step 2: Convert to fraction form
    5,574.87/7,693.42 = 3,056.82/x
  3. Step 3: Cross multiply
    5,574.87x = 7,693.42 × 3,056.82
  4. Step 4: Simplify right side
    5,574.87x = 23,517,400.12
  5. Step 5: Solve for x
    x = 23,517,400.12/5,574.87
  6. Step 6: Final answer
    x = 4,218.47

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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.