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Finding the Fourth Proportional to 6,136, 8,467.92 and 3,653.44

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Solution

The fourth proportional to 6,136, 8,467.92 and 3,653.44 is: 5,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136 : 8,467.92 = 3,653.44 : x
  2. Step 2: Convert to fraction form
    6,136/8,467.92 = 3,653.44/x
  3. Step 3: Cross multiply
    6,136x = 8,467.92 × 3,653.44
  4. Step 4: Simplify right side
    6,136x = 30,937,037.64
  5. Step 5: Solve for x
    x = 30,937,037.64/6,136
  6. Step 6: Final answer
    x = 5,041.89

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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.