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Finding the Fourth Proportional to 5,738.21, 8,606.50 and 1,842.11

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Solution

The fourth proportional to 5,738.21, 8,606.50 and 1,842.11 is: 2,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.21 : 8,606.50 = 1,842.11 : x
  2. Step 2: Convert to fraction form
    5,738.21/8,606.50 = 1,842.11/x
  3. Step 3: Cross multiply
    5,738.21x = 8,606.50 × 1,842.11
  4. Step 4: Simplify right side
    5,738.21x = 15,854,114.71
  5. Step 5: Solve for x
    x = 15,854,114.71/5,738.21
  6. Step 6: Final answer
    x = 2,762.90

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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.