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Finding the Fourth Proportional to 3,773.77, 5,658.95 and 1,140.26

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Solution

The fourth proportional to 3,773.77, 5,658.95 and 1,140.26 is: 1,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.77 : 5,658.95 = 1,140.26 : x
  2. Step 2: Convert to fraction form
    3,773.77/5,658.95 = 1,140.26/x
  3. Step 3: Cross multiply
    3,773.77x = 5,658.95 × 1,140.26
  4. Step 4: Simplify right side
    3,773.77x = 6,452,648.88
  5. Step 5: Solve for x
    x = 6,452,648.88/3,773.77
  6. Step 6: Final answer
    x = 1,709.87

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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.