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Finding the Fourth Proportional to 3,777.02, 5,664.99 and 1,003.93

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Solution

The fourth proportional to 3,777.02, 5,664.99 and 1,003.93 is: 1,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.02 : 5,664.99 = 1,003.93 : x
  2. Step 2: Convert to fraction form
    3,777.02/5,664.99 = 1,003.93/x
  3. Step 3: Cross multiply
    3,777.02x = 5,664.99 × 1,003.93
  4. Step 4: Simplify right side
    3,777.02x = 5,687,253.41
  5. Step 5: Solve for x
    x = 5,687,253.41/3,777.02
  6. Step 6: Final answer
    x = 1,505.75

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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.