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Finding the Fourth Proportional to 5,745.55, 7,925.73 and 3,698

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Solution

The fourth proportional to 5,745.55, 7,925.73 and 3,698 is: 5,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.55 : 7,925.73 = 3,698 : x
  2. Step 2: Convert to fraction form
    5,745.55/7,925.73 = 3,698/x
  3. Step 3: Cross multiply
    5,745.55x = 7,925.73 × 3,698
  4. Step 4: Simplify right side
    5,745.55x = 29,309,349.54
  5. Step 5: Solve for x
    x = 29,309,349.54/5,745.55
  6. Step 6: Final answer
    x = 5,101.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.