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Finding the Fourth Proportional to 6,459.59, 8,911.94 and 4,222.76

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Solution

The fourth proportional to 6,459.59, 8,911.94 and 4,222.76 is: 5,825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.59 : 8,911.94 = 4,222.76 : x
  2. Step 2: Convert to fraction form
    6,459.59/8,911.94 = 4,222.76/x
  3. Step 3: Cross multiply
    6,459.59x = 8,911.94 × 4,222.76
  4. Step 4: Simplify right side
    6,459.59x = 37,632,983.75
  5. Step 5: Solve for x
    x = 37,632,983.75/6,459.59
  6. Step 6: Final answer
    x = 5,825.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.