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Finding the Fourth Proportional to 5,607.69, 7,738.58 and 3,370.80

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Solution

The fourth proportional to 5,607.69, 7,738.58 and 3,370.80 is: 4,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.69 : 7,738.58 = 3,370.80 : x
  2. Step 2: Convert to fraction form
    5,607.69/7,738.58 = 3,370.80/x
  3. Step 3: Cross multiply
    5,607.69x = 7,738.58 × 3,370.80
  4. Step 4: Simplify right side
    5,607.69x = 26,085,205.46
  5. Step 5: Solve for x
    x = 26,085,205.46/5,607.69
  6. Step 6: Final answer
    x = 4,651.68

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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.