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Finding the Fourth Proportional to 4,100.51, 6,109.50 and 4,059.54

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Solution

The fourth proportional to 4,100.51, 6,109.50 and 4,059.54 is: 6,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.51 : 6,109.50 = 4,059.54 : x
  2. Step 2: Convert to fraction form
    4,100.51/6,109.50 = 4,059.54/x
  3. Step 3: Cross multiply
    4,100.51x = 6,109.50 × 4,059.54
  4. Step 4: Simplify right side
    4,100.51x = 24,801,759.63
  5. Step 5: Solve for x
    x = 24,801,759.63/4,100.51
  6. Step 6: Final answer
    x = 6,048.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.