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Finding the Fourth Proportional to 3,767.07, 5,654.07 and 1,919.50

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Solution

The fourth proportional to 3,767.07, 5,654.07 and 1,919.50 is: 2,881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.07 : 5,654.07 = 1,919.50 : x
  2. Step 2: Convert to fraction form
    3,767.07/5,654.07 = 1,919.50/x
  3. Step 3: Cross multiply
    3,767.07x = 5,654.07 × 1,919.50
  4. Step 4: Simplify right side
    3,767.07x = 10,852,987.37
  5. Step 5: Solve for x
    x = 10,852,987.37/3,767.07
  6. Step 6: Final answer
    x = 2,881.02

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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.