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Finding the Fourth Proportional to 4,164, 5,745.83 and 2,396.17

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Solution

The fourth proportional to 4,164, 5,745.83 and 2,396.17 is: 3,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164 : 5,745.83 = 2,396.17 : x
  2. Step 2: Convert to fraction form
    4,164/5,745.83 = 2,396.17/x
  3. Step 3: Cross multiply
    4,164x = 5,745.83 × 2,396.17
  4. Step 4: Simplify right side
    4,164x = 13,767,985.47
  5. Step 5: Solve for x
    x = 13,767,985.47/4,164
  6. Step 6: Final answer
    x = 3,306.43

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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.