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Finding the Fourth Proportional to 5,305.80, 8,008.57 and 5,305.80

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Solution

The fourth proportional to 5,305.80, 8,008.57 and 5,305.80 is: 8,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.80 : 8,008.57 = 5,305.80 : x
  2. Step 2: Convert to fraction form
    5,305.80/8,008.57 = 5,305.80/x
  3. Step 3: Cross multiply
    5,305.80x = 8,008.57 × 5,305.80
  4. Step 4: Simplify right side
    5,305.80x = 42,491,907.37
  5. Step 5: Solve for x
    x = 42,491,907.37/5,305.80
  6. Step 6: Final answer
    x = 8,008.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.