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Finding the Fourth Proportional to 5,902.64, 8,853.84 and 1,520.04

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Solution

The fourth proportional to 5,902.64, 8,853.84 and 1,520.04 is: 2,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.64 : 8,853.84 = 1,520.04 : x
  2. Step 2: Convert to fraction form
    5,902.64/8,853.84 = 1,520.04/x
  3. Step 3: Cross multiply
    5,902.64x = 8,853.84 × 1,520.04
  4. Step 4: Simplify right side
    5,902.64x = 13,458,190.95
  5. Step 5: Solve for x
    x = 13,458,190.95/5,902.64
  6. Step 6: Final answer
    x = 2,280.03

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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.