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Finding the Fourth Proportional to 3,873.74, 5,810.90 and 1,100.46

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Solution

The fourth proportional to 3,873.74, 5,810.90 and 1,100.46 is: 1,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.74 : 5,810.90 = 1,100.46 : x
  2. Step 2: Convert to fraction form
    3,873.74/5,810.90 = 1,100.46/x
  3. Step 3: Cross multiply
    3,873.74x = 5,810.90 × 1,100.46
  4. Step 4: Simplify right side
    3,873.74x = 6,394,663.01
  5. Step 5: Solve for x
    x = 6,394,663.01/3,873.74
  6. Step 6: Final answer
    x = 1,650.77

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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.