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Finding the Fourth Proportional to 3,855.30, 5,782.94 and 933.60

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Solution

The fourth proportional to 3,855.30, 5,782.94 and 933.60 is: 1,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.30 : 5,782.94 = 933.60 : x
  2. Step 2: Convert to fraction form
    3,855.30/5,782.94 = 933.60/x
  3. Step 3: Cross multiply
    3,855.30x = 5,782.94 × 933.60
  4. Step 4: Simplify right side
    3,855.30x = 5,398,948.12
  5. Step 5: Solve for x
    x = 5,398,948.12/3,855.30
  6. Step 6: Final answer
    x = 1,400.40

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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.