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Finding the Fourth Proportional to 5,670.50, 8,504.38 and 2,383.64

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Solution

The fourth proportional to 5,670.50, 8,504.38 and 2,383.64 is: 3,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.50 : 8,504.38 = 2,383.64 : x
  2. Step 2: Convert to fraction form
    5,670.50/8,504.38 = 2,383.64/x
  3. Step 3: Cross multiply
    5,670.50x = 8,504.38 × 2,383.64
  4. Step 4: Simplify right side
    5,670.50x = 20,271,380.34
  5. Step 5: Solve for x
    x = 20,271,380.34/5,670.50
  6. Step 6: Final answer
    x = 3,574.88

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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.