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Finding the Fourth Proportional to 4,294.33, 6,437.37 and 2,729.48

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Solution

The fourth proportional to 4,294.33, 6,437.37 and 2,729.48 is: 4,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.33 : 6,437.37 = 2,729.48 : x
  2. Step 2: Convert to fraction form
    4,294.33/6,437.37 = 2,729.48/x
  3. Step 3: Cross multiply
    4,294.33x = 6,437.37 × 2,729.48
  4. Step 4: Simplify right side
    4,294.33x = 17,570,686.93
  5. Step 5: Solve for x
    x = 17,570,686.93/4,294.33
  6. Step 6: Final answer
    x = 4,091.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.