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Finding the Fourth Proportional to 5,871.36, 8,093.40 and 4,377

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Solution

The fourth proportional to 5,871.36, 8,093.40 and 4,377 is: 6,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.36 : 8,093.40 = 4,377 : x
  2. Step 2: Convert to fraction form
    5,871.36/8,093.40 = 4,377/x
  3. Step 3: Cross multiply
    5,871.36x = 8,093.40 × 4,377
  4. Step 4: Simplify right side
    5,871.36x = 35,424,811.80
  5. Step 5: Solve for x
    x = 35,424,811.80/5,871.36
  6. Step 6: Final answer
    x = 6,033.49

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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.