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Finding the Fourth Proportional to 5,798.93, 7,993.79 and 4,537.80

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Solution

The fourth proportional to 5,798.93, 7,993.79 and 4,537.80 is: 6,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.93 : 7,993.79 = 4,537.80 : x
  2. Step 2: Convert to fraction form
    5,798.93/7,993.79 = 4,537.80/x
  3. Step 3: Cross multiply
    5,798.93x = 7,993.79 × 4,537.80
  4. Step 4: Simplify right side
    5,798.93x = 36,274,180.29
  5. Step 5: Solve for x
    x = 36,274,180.29/5,798.93
  6. Step 6: Final answer
    x = 6,255.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.