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Finding the Fourth Proportional to 5,662.35, 7,817.85 and 4,333.68

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Solution

The fourth proportional to 5,662.35, 7,817.85 and 4,333.68 is: 5,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.35 : 7,817.85 = 4,333.68 : x
  2. Step 2: Convert to fraction form
    5,662.35/7,817.85 = 4,333.68/x
  3. Step 3: Cross multiply
    5,662.35x = 7,817.85 × 4,333.68
  4. Step 4: Simplify right side
    5,662.35x = 33,880,060.19
  5. Step 5: Solve for x
    x = 33,880,060.19/5,662.35
  6. Step 6: Final answer
    x = 5,983.39

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Why These Related Problems?

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