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Finding the Fourth Proportional to 4,992.52, 7,487.82 and 1,705.27

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Solution

The fourth proportional to 4,992.52, 7,487.82 and 1,705.27 is: 2,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.52 : 7,487.82 = 1,705.27 : x
  2. Step 2: Convert to fraction form
    4,992.52/7,487.82 = 1,705.27/x
  3. Step 3: Cross multiply
    4,992.52x = 7,487.82 × 1,705.27
  4. Step 4: Simplify right side
    4,992.52x = 12,768,754.81
  5. Step 5: Solve for x
    x = 12,768,754.81/4,992.52
  6. Step 6: Final answer
    x = 2,557.58

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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.