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Finding the Fourth Proportional to 5,778.25, 7,974.93 and 3,541.36

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Solution

The fourth proportional to 5,778.25, 7,974.93 and 3,541.36 is: 4,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.25 : 7,974.93 = 3,541.36 : x
  2. Step 2: Convert to fraction form
    5,778.25/7,974.93 = 3,541.36/x
  3. Step 3: Cross multiply
    5,778.25x = 7,974.93 × 3,541.36
  4. Step 4: Simplify right side
    5,778.25x = 28,242,098.10
  5. Step 5: Solve for x
    x = 28,242,098.10/5,778.25
  6. Step 6: Final answer
    x = 4,887.66

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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.