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Finding the Fourth Proportional to 6,136.48, 8,468.55 and 3,484

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Solution

The fourth proportional to 6,136.48, 8,468.55 and 3,484 is: 4,808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.48 : 8,468.55 = 3,484 : x
  2. Step 2: Convert to fraction form
    6,136.48/8,468.55 = 3,484/x
  3. Step 3: Cross multiply
    6,136.48x = 8,468.55 × 3,484
  4. Step 4: Simplify right side
    6,136.48x = 29,504,428.20
  5. Step 5: Solve for x
    x = 29,504,428.20/6,136.48
  6. Step 6: Final answer
    x = 4,808.04

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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.