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Finding the Fourth Proportional to 3,780.84, 5,671.18 and 1,007.43

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Solution

The fourth proportional to 3,780.84, 5,671.18 and 1,007.43 is: 1,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.84 : 5,671.18 = 1,007.43 : x
  2. Step 2: Convert to fraction form
    3,780.84/5,671.18 = 1,007.43/x
  3. Step 3: Cross multiply
    3,780.84x = 5,671.18 × 1,007.43
  4. Step 4: Simplify right side
    3,780.84x = 5,713,316.87
  5. Step 5: Solve for x
    x = 5,713,316.87/3,780.84
  6. Step 6: Final answer
    x = 1,511.12

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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.