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Finding the Fourth Proportional to 5,046.13, 7,570.41 and 1,583.38

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Solution

The fourth proportional to 5,046.13, 7,570.41 and 1,583.38 is: 2,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.13 : 7,570.41 = 1,583.38 : x
  2. Step 2: Convert to fraction form
    5,046.13/7,570.41 = 1,583.38/x
  3. Step 3: Cross multiply
    5,046.13x = 7,570.41 × 1,583.38
  4. Step 4: Simplify right side
    5,046.13x = 11,986,790.02
  5. Step 5: Solve for x
    x = 11,986,790.02/5,046.13
  6. Step 6: Final answer
    x = 2,375.44

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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.