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Finding the Fourth Proportional to 5,724.82, 7,901.06 and 4,136.62

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Solution

The fourth proportional to 5,724.82, 7,901.06 and 4,136.62 is: 5,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.82 : 7,901.06 = 4,136.62 : x
  2. Step 2: Convert to fraction form
    5,724.82/7,901.06 = 4,136.62/x
  3. Step 3: Cross multiply
    5,724.82x = 7,901.06 × 4,136.62
  4. Step 4: Simplify right side
    5,724.82x = 32,683,682.82
  5. Step 5: Solve for x
    x = 32,683,682.82/5,724.82
  6. Step 6: Final answer
    x = 5,709.12

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1.5x scale

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.