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Finding the Fourth Proportional to 3,777.75, 5,666.67 and 1,041.75

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Solution

The fourth proportional to 3,777.75, 5,666.67 and 1,041.75 is: 1,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.75 : 5,666.67 = 1,041.75 : x
  2. Step 2: Convert to fraction form
    3,777.75/5,666.67 = 1,041.75/x
  3. Step 3: Cross multiply
    3,777.75x = 5,666.67 × 1,041.75
  4. Step 4: Simplify right side
    3,777.75x = 5,903,253.47
  5. Step 5: Solve for x
    x = 5,903,253.47/3,777.75
  6. Step 6: Final answer
    x = 1,562.64

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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.