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Finding the Fourth Proportional to 3,843.11, 5,762.11 and 1,503.34

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Solution

The fourth proportional to 3,843.11, 5,762.11 and 1,503.34 is: 2,254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.11 : 5,762.11 = 1,503.34 : x
  2. Step 2: Convert to fraction form
    3,843.11/5,762.11 = 1,503.34/x
  3. Step 3: Cross multiply
    3,843.11x = 5,762.11 × 1,503.34
  4. Step 4: Simplify right side
    3,843.11x = 8,662,410.45
  5. Step 5: Solve for x
    x = 8,662,410.45/3,843.11
  6. Step 6: Final answer
    x = 2,254.01

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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.