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Finding the Fourth Proportional to 4,112.88, 5,675.80 and 2,344.46

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Solution

The fourth proportional to 4,112.88, 5,675.80 and 2,344.46 is: 3,235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.88 : 5,675.80 = 2,344.46 : x
  2. Step 2: Convert to fraction form
    4,112.88/5,675.80 = 2,344.46/x
  3. Step 3: Cross multiply
    4,112.88x = 5,675.80 × 2,344.46
  4. Step 4: Simplify right side
    4,112.88x = 13,306,686.07
  5. Step 5: Solve for x
    x = 13,306,686.07/4,112.88
  6. Step 6: Final answer
    x = 3,235.37

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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.