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Finding the Fourth Proportional to 5,653.98, 8,481.42 and 1,758.42

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Solution

The fourth proportional to 5,653.98, 8,481.42 and 1,758.42 is: 2,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.98 : 8,481.42 = 1,758.42 : x
  2. Step 2: Convert to fraction form
    5,653.98/8,481.42 = 1,758.42/x
  3. Step 3: Cross multiply
    5,653.98x = 8,481.42 × 1,758.42
  4. Step 4: Simplify right side
    5,653.98x = 14,913,898.56
  5. Step 5: Solve for x
    x = 14,913,898.56/5,653.98
  6. Step 6: Final answer
    x = 2,637.77

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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.