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Finding the Fourth Proportional to 5,786.94, 7,989.66 and 4,458.18

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Solution

The fourth proportional to 5,786.94, 7,989.66 and 4,458.18 is: 6,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.94 : 7,989.66 = 4,458.18 : x
  2. Step 2: Convert to fraction form
    5,786.94/7,989.66 = 4,458.18/x
  3. Step 3: Cross multiply
    5,786.94x = 7,989.66 × 4,458.18
  4. Step 4: Simplify right side
    5,786.94x = 35,619,342.42
  5. Step 5: Solve for x
    x = 35,619,342.42/5,786.94
  6. Step 6: Final answer
    x = 6,155.13

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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.