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Finding the Fourth Proportional to 4,294.50, 6,440.76 and 2,421.22

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Solution

The fourth proportional to 4,294.50, 6,440.76 and 2,421.22 is: 3,631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.50 : 6,440.76 = 2,421.22 : x
  2. Step 2: Convert to fraction form
    4,294.50/6,440.76 = 2,421.22/x
  3. Step 3: Cross multiply
    4,294.50x = 6,440.76 × 2,421.22
  4. Step 4: Simplify right side
    4,294.50x = 15,594,496.93
  5. Step 5: Solve for x
    x = 15,594,496.93/4,294.50
  6. Step 6: Final answer
    x = 3,631.27

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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.