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Finding the Fourth Proportional to 3,735.41, 5,601.80 and 1,102.22

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Solution

The fourth proportional to 3,735.41, 5,601.80 and 1,102.22 is: 1,652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.41 : 5,601.80 = 1,102.22 : x
  2. Step 2: Convert to fraction form
    3,735.41/5,601.80 = 1,102.22/x
  3. Step 3: Cross multiply
    3,735.41x = 5,601.80 × 1,102.22
  4. Step 4: Simplify right side
    3,735.41x = 6,174,387.99
  5. Step 5: Solve for x
    x = 6,174,387.99/3,735.41
  6. Step 6: Final answer
    x = 1,652.93

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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.