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Finding the Fourth Proportional to 3,785.39, 5,678.28 and 1,152.69

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Solution

The fourth proportional to 3,785.39, 5,678.28 and 1,152.69 is: 1,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.39 : 5,678.28 = 1,152.69 : x
  2. Step 2: Convert to fraction form
    3,785.39/5,678.28 = 1,152.69/x
  3. Step 3: Cross multiply
    3,785.39x = 5,678.28 × 1,152.69
  4. Step 4: Simplify right side
    3,785.39x = 6,545,270.96
  5. Step 5: Solve for x
    x = 6,545,270.96/3,785.39
  6. Step 6: Final answer
    x = 1,729.09

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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.