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Finding the Fourth Proportional to 3,775.63, 5,645.42 and 3,444.77

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Solution

The fourth proportional to 3,775.63, 5,645.42 and 3,444.77 is: 5,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.63 : 5,645.42 = 3,444.77 : x
  2. Step 2: Convert to fraction form
    3,775.63/5,645.42 = 3,444.77/x
  3. Step 3: Cross multiply
    3,775.63x = 5,645.42 × 3,444.77
  4. Step 4: Simplify right side
    3,775.63x = 19,447,177.40
  5. Step 5: Solve for x
    x = 19,447,177.40/3,775.63
  6. Step 6: Final answer
    x = 5,150.72

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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.