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Finding the Fourth Proportional to 6,136.74, 8,468.88 and 3,484.26

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Solution

The fourth proportional to 6,136.74, 8,468.88 and 3,484.26 is: 4,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.74 : 8,468.88 = 3,484.26 : x
  2. Step 2: Convert to fraction form
    6,136.74/8,468.88 = 3,484.26/x
  3. Step 3: Cross multiply
    6,136.74x = 8,468.88 × 3,484.26
  4. Step 4: Simplify right side
    6,136.74x = 29,507,779.83
  5. Step 5: Solve for x
    x = 29,507,779.83/6,136.74
  6. Step 6: Final answer
    x = 4,808.38

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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.