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Finding the Fourth Proportional to 4,136.64, 6,204.96 and 1,058.64

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Solution

The fourth proportional to 4,136.64, 6,204.96 and 1,058.64 is: 1,587.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.64 : 6,204.96 = 1,058.64 : x
  2. Step 2: Convert to fraction form
    4,136.64/6,204.96 = 1,058.64/x
  3. Step 3: Cross multiply
    4,136.64x = 6,204.96 × 1,058.64
  4. Step 4: Simplify right side
    4,136.64x = 6,568,818.85
  5. Step 5: Solve for x
    x = 6,568,818.85/4,136.64
  6. Step 6: Final answer
    x = 1,587.96

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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.