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Finding the Fourth Proportional to 3,778.74, 5,668.09 and 1,005.69

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Solution

The fourth proportional to 3,778.74, 5,668.09 and 1,005.69 is: 1,508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.74 : 5,668.09 = 1,005.69 : x
  2. Step 2: Convert to fraction form
    3,778.74/5,668.09 = 1,005.69/x
  3. Step 3: Cross multiply
    3,778.74x = 5,668.09 × 1,005.69
  4. Step 4: Simplify right side
    3,778.74x = 5,700,341.43
  5. Step 5: Solve for x
    x = 5,700,341.43/3,778.74
  6. Step 6: Final answer
    x = 1,508.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.