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Finding the Fourth Proportional to 3,295.44, 4,544.31 and 2,586

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Solution

The fourth proportional to 3,295.44, 4,544.31 and 2,586 is: 3,566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.44 : 4,544.31 = 2,586 : x
  2. Step 2: Convert to fraction form
    3,295.44/4,544.31 = 2,586/x
  3. Step 3: Cross multiply
    3,295.44x = 4,544.31 × 2,586
  4. Step 4: Simplify right side
    3,295.44x = 11,751,585.66
  5. Step 5: Solve for x
    x = 11,751,585.66/3,295.44
  6. Step 6: Final answer
    x = 3,566.01

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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.