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Finding the Fourth Proportional to 5,866.46, 8,782.00 and 3,782.31

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Solution

The fourth proportional to 5,866.46, 8,782.00 and 3,782.31 is: 5,662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.46 : 8,782.00 = 3,782.31 : x
  2. Step 2: Convert to fraction form
    5,866.46/8,782.00 = 3,782.31/x
  3. Step 3: Cross multiply
    5,866.46x = 8,782.00 × 3,782.31
  4. Step 4: Simplify right side
    5,866.46x = 33,216,285.25
  5. Step 5: Solve for x
    x = 33,216,285.25/5,866.46
  6. Step 6: Final answer
    x = 5,662.07

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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.