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Finding the Fourth Proportional to 3,777.63, 5,666.78 and 1,278.75

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Solution

The fourth proportional to 3,777.63, 5,666.78 and 1,278.75 is: 1,918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.63 : 5,666.78 = 1,278.75 : x
  2. Step 2: Convert to fraction form
    3,777.63/5,666.78 = 1,278.75/x
  3. Step 3: Cross multiply
    3,777.63x = 5,666.78 × 1,278.75
  4. Step 4: Simplify right side
    3,777.63x = 7,246,388.53
  5. Step 5: Solve for x
    x = 7,246,388.53/3,777.63
  6. Step 6: Final answer
    x = 1,918.24

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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.