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Finding the Fourth Proportional to 4,193.99, 5,787.35 and 2,305.52

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Solution

The fourth proportional to 4,193.99, 5,787.35 and 2,305.52 is: 3,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.99 : 5,787.35 = 2,305.52 : x
  2. Step 2: Convert to fraction form
    4,193.99/5,787.35 = 2,305.52/x
  3. Step 3: Cross multiply
    4,193.99x = 5,787.35 × 2,305.52
  4. Step 4: Simplify right side
    4,193.99x = 13,342,810.71
  5. Step 5: Solve for x
    x = 13,342,810.71/4,193.99
  6. Step 6: Final answer
    x = 3,181.42

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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.