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Finding the Fourth Proportional to 6,221.98, 8,583.87 and 4,333.06

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Solution

The fourth proportional to 6,221.98, 8,583.87 and 4,333.06 is: 5,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.98 : 8,583.87 = 4,333.06 : x
  2. Step 2: Convert to fraction form
    6,221.98/8,583.87 = 4,333.06/x
  3. Step 3: Cross multiply
    6,221.98x = 8,583.87 × 4,333.06
  4. Step 4: Simplify right side
    6,221.98x = 37,194,423.74
  5. Step 5: Solve for x
    x = 37,194,423.74/6,221.98
  6. Step 6: Final answer
    x = 5,977.91

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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.