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Finding the Fourth Proportional to 4,000.21, 6,000.50 and 1,226.68

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Solution

The fourth proportional to 4,000.21, 6,000.50 and 1,226.68 is: 1,840.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.21 : 6,000.50 = 1,226.68 : x
  2. Step 2: Convert to fraction form
    4,000.21/6,000.50 = 1,226.68/x
  3. Step 3: Cross multiply
    4,000.21x = 6,000.50 × 1,226.68
  4. Step 4: Simplify right side
    4,000.21x = 7,360,693.34
  5. Step 5: Solve for x
    x = 7,360,693.34/4,000.21
  6. Step 6: Final answer
    x = 1,840.08

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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.