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Finding the Fourth Proportional to 3,780.81, 5,670.57 and 1,007.78

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Solution

The fourth proportional to 3,780.81, 5,670.57 and 1,007.78 is: 1,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.81 : 5,670.57 = 1,007.78 : x
  2. Step 2: Convert to fraction form
    3,780.81/5,670.57 = 1,007.78/x
  3. Step 3: Cross multiply
    3,780.81x = 5,670.57 × 1,007.78
  4. Step 4: Simplify right side
    3,780.81x = 5,714,662.46
  5. Step 5: Solve for x
    x = 5,714,662.46/3,780.81
  6. Step 6: Final answer
    x = 1,511.49

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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.