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Finding the Fourth Proportional to 4,686.96, 7,029.78 and 1,399.44

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Solution

The fourth proportional to 4,686.96, 7,029.78 and 1,399.44 is: 2,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.96 : 7,029.78 = 1,399.44 : x
  2. Step 2: Convert to fraction form
    4,686.96/7,029.78 = 1,399.44/x
  3. Step 3: Cross multiply
    4,686.96x = 7,029.78 × 1,399.44
  4. Step 4: Simplify right side
    4,686.96x = 9,837,755.32
  5. Step 5: Solve for x
    x = 9,837,755.32/4,686.96
  6. Step 6: Final answer
    x = 2,098.96

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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.