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Finding the Fourth Proportional to 4,992.09, 7,488.13 and 1,705.21

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Solution

The fourth proportional to 4,992.09, 7,488.13 and 1,705.21 is: 2,557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.09 : 7,488.13 = 1,705.21 : x
  2. Step 2: Convert to fraction form
    4,992.09/7,488.13 = 1,705.21/x
  3. Step 3: Cross multiply
    4,992.09x = 7,488.13 × 1,705.21
  4. Step 4: Simplify right side
    4,992.09x = 12,768,814.37
  5. Step 5: Solve for x
    x = 12,768,814.37/4,992.09
  6. Step 6: Final answer
    x = 2,557.81

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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.