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Finding the Fourth Proportional to 5,710.14, 7,874.31 and 4,297.20

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Solution

The fourth proportional to 5,710.14, 7,874.31 and 4,297.20 is: 5,925.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.14 : 7,874.31 = 4,297.20 : x
  2. Step 2: Convert to fraction form
    5,710.14/7,874.31 = 4,297.20/x
  3. Step 3: Cross multiply
    5,710.14x = 7,874.31 × 4,297.20
  4. Step 4: Simplify right side
    5,710.14x = 33,837,454.36
  5. Step 5: Solve for x
    x = 33,837,454.36/5,710.14
  6. Step 6: Final answer
    x = 5,925.86

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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.