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Finding the Fourth Proportional to 5,494.61, 7,582.36 and 3,136.65

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Solution

The fourth proportional to 5,494.61, 7,582.36 and 3,136.65 is: 4,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.61 : 7,582.36 = 3,136.65 : x
  2. Step 2: Convert to fraction form
    5,494.61/7,582.36 = 3,136.65/x
  3. Step 3: Cross multiply
    5,494.61x = 7,582.36 × 3,136.65
  4. Step 4: Simplify right side
    5,494.61x = 23,783,209.49
  5. Step 5: Solve for x
    x = 23,783,209.49/5,494.61
  6. Step 6: Final answer
    x = 4,328.46

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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.