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Finding the Fourth Proportional to 4,259.22, 5,880.42 and 2,917.06

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Solution

The fourth proportional to 4,259.22, 5,880.42 and 2,917.06 is: 4,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.22 : 5,880.42 = 2,917.06 : x
  2. Step 2: Convert to fraction form
    4,259.22/5,880.42 = 2,917.06/x
  3. Step 3: Cross multiply
    4,259.22x = 5,880.42 × 2,917.06
  4. Step 4: Simplify right side
    4,259.22x = 17,153,537.97
  5. Step 5: Solve for x
    x = 17,153,537.97/4,259.22
  6. Step 6: Final answer
    x = 4,027.39

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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.