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Finding the Fourth Proportional to 5,092.26, 7,639.02 and 1,804.68

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Solution

The fourth proportional to 5,092.26, 7,639.02 and 1,804.68 is: 2,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.26 : 7,639.02 = 1,804.68 : x
  2. Step 2: Convert to fraction form
    5,092.26/7,639.02 = 1,804.68/x
  3. Step 3: Cross multiply
    5,092.26x = 7,639.02 × 1,804.68
  4. Step 4: Simplify right side
    5,092.26x = 13,785,986.61
  5. Step 5: Solve for x
    x = 13,785,986.61/5,092.26
  6. Step 6: Final answer
    x = 2,707.24

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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.