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Finding the Fourth Proportional to 4,866.44, 7,285.89 and 3,783.47

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Solution

The fourth proportional to 4,866.44, 7,285.89 and 3,783.47 is: 5,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.44 : 7,285.89 = 3,783.47 : x
  2. Step 2: Convert to fraction form
    4,866.44/7,285.89 = 3,783.47/x
  3. Step 3: Cross multiply
    4,866.44x = 7,285.89 × 3,783.47
  4. Step 4: Simplify right side
    4,866.44x = 27,565,964.45
  5. Step 5: Solve for x
    x = 27,565,964.45/4,866.44
  6. Step 6: Final answer
    x = 5,664.50

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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.