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Finding the Fourth Proportional to 4,993.94, 7,490.09 and 1,530.38

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Solution

The fourth proportional to 4,993.94, 7,490.09 and 1,530.38 is: 2,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.94 : 7,490.09 = 1,530.38 : x
  2. Step 2: Convert to fraction form
    4,993.94/7,490.09 = 1,530.38/x
  3. Step 3: Cross multiply
    4,993.94x = 7,490.09 × 1,530.38
  4. Step 4: Simplify right side
    4,993.94x = 11,462,638.83
  5. Step 5: Solve for x
    x = 11,462,638.83/4,993.94
  6. Step 6: Final answer
    x = 2,295.31

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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.