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Finding the Fourth Proportional to 3,523.26, 5,284.85 and 1,058.00

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Solution

The fourth proportional to 3,523.26, 5,284.85 and 1,058.00 is: 1,586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.26 : 5,284.85 = 1,058.00 : x
  2. Step 2: Convert to fraction form
    3,523.26/5,284.85 = 1,058.00/x
  3. Step 3: Cross multiply
    3,523.26x = 5,284.85 × 1,058.00
  4. Step 4: Simplify right side
    3,523.26x = 5,591,339.59
  5. Step 5: Solve for x
    x = 5,591,339.59/3,523.26
  6. Step 6: Final answer
    x = 1,586.98

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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.