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Finding the Fourth Proportional to 5,539.32, 7,644.30 and 3,055.32

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Solution

The fourth proportional to 5,539.32, 7,644.30 and 3,055.32 is: 4,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.32 : 7,644.30 = 3,055.32 : x
  2. Step 2: Convert to fraction form
    5,539.32/7,644.30 = 3,055.32/x
  3. Step 3: Cross multiply
    5,539.32x = 7,644.30 × 3,055.32
  4. Step 4: Simplify right side
    5,539.32x = 23,355,782.68
  5. Step 5: Solve for x
    x = 23,355,782.68/5,539.32
  6. Step 6: Final answer
    x = 4,216.36

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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.