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Finding the Fourth Proportional to 5,895.64, 8,136.02 and 3,242.98

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Solution

The fourth proportional to 5,895.64, 8,136.02 and 3,242.98 is: 4,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.64 : 8,136.02 = 3,242.98 : x
  2. Step 2: Convert to fraction form
    5,895.64/8,136.02 = 3,242.98/x
  3. Step 3: Cross multiply
    5,895.64x = 8,136.02 × 3,242.98
  4. Step 4: Simplify right side
    5,895.64x = 26,384,893.24
  5. Step 5: Solve for x
    x = 26,384,893.24/5,895.64
  6. Step 6: Final answer
    x = 4,475.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.