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Finding the Fourth Proportional to 3,902.76, 5,855.08 and 1,594.26

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Solution

The fourth proportional to 3,902.76, 5,855.08 and 1,594.26 is: 2,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.76 : 5,855.08 = 1,594.26 : x
  2. Step 2: Convert to fraction form
    3,902.76/5,855.08 = 1,594.26/x
  3. Step 3: Cross multiply
    3,902.76x = 5,855.08 × 1,594.26
  4. Step 4: Simplify right side
    3,902.76x = 9,334,519.84
  5. Step 5: Solve for x
    x = 9,334,519.84/3,902.76
  6. Step 6: Final answer
    x = 2,391.77

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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.