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Finding the Fourth Proportional to 4,101.69, 5,659.25 and 2,333.01

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Solution

The fourth proportional to 4,101.69, 5,659.25 and 2,333.01 is: 3,218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.69 : 5,659.25 = 2,333.01 : x
  2. Step 2: Convert to fraction form
    4,101.69/5,659.25 = 2,333.01/x
  3. Step 3: Cross multiply
    4,101.69x = 5,659.25 × 2,333.01
  4. Step 4: Simplify right side
    4,101.69x = 13,203,075.18
  5. Step 5: Solve for x
    x = 13,203,075.18/4,101.69
  6. Step 6: Final answer
    x = 3,218.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.