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Finding the Fourth Proportional to 3,872.39, 5,782.37 and 3,041.33

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Solution

The fourth proportional to 3,872.39, 5,782.37 and 3,041.33 is: 4,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.39 : 5,782.37 = 3,041.33 : x
  2. Step 2: Convert to fraction form
    3,872.39/5,782.37 = 3,041.33/x
  3. Step 3: Cross multiply
    3,872.39x = 5,782.37 × 3,041.33
  4. Step 4: Simplify right side
    3,872.39x = 17,586,051.23
  5. Step 5: Solve for x
    x = 17,586,051.23/3,872.39
  6. Step 6: Final answer
    x = 4,541.40

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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.