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Finding the Fourth Proportional to 5,782.44, 7,977.14 and 3,685.26

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Solution

The fourth proportional to 5,782.44, 7,977.14 and 3,685.26 is: 5,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.44 : 7,977.14 = 3,685.26 : x
  2. Step 2: Convert to fraction form
    5,782.44/7,977.14 = 3,685.26/x
  3. Step 3: Cross multiply
    5,782.44x = 7,977.14 × 3,685.26
  4. Step 4: Simplify right side
    5,782.44x = 29,397,834.96
  5. Step 5: Solve for x
    x = 29,397,834.96/5,782.44
  6. Step 6: Final answer
    x = 5,083.98

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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.