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Finding the Fourth Proportional to 4,291.50, 6,438.33 and 1,213.50

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Solution

The fourth proportional to 4,291.50, 6,438.33 and 1,213.50 is: 1,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.50 : 6,438.33 = 1,213.50 : x
  2. Step 2: Convert to fraction form
    4,291.50/6,438.33 = 1,213.50/x
  3. Step 3: Cross multiply
    4,291.50x = 6,438.33 × 1,213.50
  4. Step 4: Simplify right side
    4,291.50x = 7,812,913.46
  5. Step 5: Solve for x
    x = 7,812,913.46/4,291.50
  6. Step 6: Final answer
    x = 1,820.56

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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.