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Finding the Fourth Proportional to 5,639.82, 7,783.52 and 4,068.82

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Solution

The fourth proportional to 5,639.82, 7,783.52 and 4,068.82 is: 5,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.82 : 7,783.52 = 4,068.82 : x
  2. Step 2: Convert to fraction form
    5,639.82/7,783.52 = 4,068.82/x
  3. Step 3: Cross multiply
    5,639.82x = 7,783.52 × 4,068.82
  4. Step 4: Simplify right side
    5,639.82x = 31,669,741.85
  5. Step 5: Solve for x
    x = 31,669,741.85/5,639.82
  6. Step 6: Final answer
    x = 5,615.38

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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.