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Finding the Fourth Proportional to 5,707.21, 8,561.50 and 2,419.88

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Solution

The fourth proportional to 5,707.21, 8,561.50 and 2,419.88 is: 3,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.21 : 8,561.50 = 2,419.88 : x
  2. Step 2: Convert to fraction form
    5,707.21/8,561.50 = 2,419.88/x
  3. Step 3: Cross multiply
    5,707.21x = 8,561.50 × 2,419.88
  4. Step 4: Simplify right side
    5,707.21x = 20,717,753.76
  5. Step 5: Solve for x
    x = 20,717,753.76/5,707.21
  6. Step 6: Final answer
    x = 3,630.10

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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.