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Finding the Fourth Proportional to 3,523.57, 5,286.36 and 1,058.47

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Solution

The fourth proportional to 3,523.57, 5,286.36 and 1,058.47 is: 1,588.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.57 : 5,286.36 = 1,058.47 : x
  2. Step 2: Convert to fraction form
    3,523.57/5,286.36 = 1,058.47/x
  3. Step 3: Cross multiply
    3,523.57x = 5,286.36 × 1,058.47
  4. Step 4: Simplify right side
    3,523.57x = 5,595,453.47
  5. Step 5: Solve for x
    x = 5,595,453.47/3,523.57
  6. Step 6: Final answer
    x = 1,588.01

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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.