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Finding the Fourth Proportional to 5,494.27, 7,582.64 and 3,136.77

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Solution

The fourth proportional to 5,494.27, 7,582.64 and 3,136.77 is: 4,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.27 : 7,582.64 = 3,136.77 : x
  2. Step 2: Convert to fraction form
    5,494.27/7,582.64 = 3,136.77/x
  3. Step 3: Cross multiply
    5,494.27x = 7,582.64 × 3,136.77
  4. Step 4: Simplify right side
    5,494.27x = 23,784,997.67
  5. Step 5: Solve for x
    x = 23,784,997.67/5,494.27
  6. Step 6: Final answer
    x = 4,329.06

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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.