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Finding the Fourth Proportional to 5,248.99, 7,874.58 and 2,783.14

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Solution

The fourth proportional to 5,248.99, 7,874.58 and 2,783.14 is: 4,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.99 : 7,874.58 = 2,783.14 : x
  2. Step 2: Convert to fraction form
    5,248.99/7,874.58 = 2,783.14/x
  3. Step 3: Cross multiply
    5,248.99x = 7,874.58 × 2,783.14
  4. Step 4: Simplify right side
    5,248.99x = 21,916,058.58
  5. Step 5: Solve for x
    x = 21,916,058.58/5,248.99
  6. Step 6: Final answer
    x = 4,175.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.