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Finding the Fourth Proportional to 3,813.77, 5,722.86 and 2,058.77

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Solution

The fourth proportional to 3,813.77, 5,722.86 and 2,058.77 is: 3,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.77 : 5,722.86 = 2,058.77 : x
  2. Step 2: Convert to fraction form
    3,813.77/5,722.86 = 2,058.77/x
  3. Step 3: Cross multiply
    3,813.77x = 5,722.86 × 2,058.77
  4. Step 4: Simplify right side
    3,813.77x = 11,782,023.87
  5. Step 5: Solve for x
    x = 11,782,023.87/3,813.77
  6. Step 6: Final answer
    x = 3,089.34

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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.