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Finding the Fourth Proportional to 5,705.73, 7,879.35 and 5,395.13

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Solution

The fourth proportional to 5,705.73, 7,879.35 and 5,395.13 is: 7,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.73 : 7,879.35 = 5,395.13 : x
  2. Step 2: Convert to fraction form
    5,705.73/7,879.35 = 5,395.13/x
  3. Step 3: Cross multiply
    5,705.73x = 7,879.35 × 5,395.13
  4. Step 4: Simplify right side
    5,705.73x = 42,510,078.17
  5. Step 5: Solve for x
    x = 42,510,078.17/5,705.73
  6. Step 6: Final answer
    x = 7,450.42

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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.