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Finding the Fourth Proportional to 5,841.78, 8,762.63 and 1,459.22

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Solution

The fourth proportional to 5,841.78, 8,762.63 and 1,459.22 is: 2,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.78 : 8,762.63 = 1,459.22 : x
  2. Step 2: Convert to fraction form
    5,841.78/8,762.63 = 1,459.22/x
  3. Step 3: Cross multiply
    5,841.78x = 8,762.63 × 1,459.22
  4. Step 4: Simplify right side
    5,841.78x = 12,786,553.84
  5. Step 5: Solve for x
    x = 12,786,553.84/5,841.78
  6. Step 6: Final answer
    x = 2,188.81

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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.