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Finding the Fourth Proportional to 3,283.93, 4,925.26 and 1,092.25

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Solution

The fourth proportional to 3,283.93, 4,925.26 and 1,092.25 is: 1,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.93 : 4,925.26 = 1,092.25 : x
  2. Step 2: Convert to fraction form
    3,283.93/4,925.26 = 1,092.25/x
  3. Step 3: Cross multiply
    3,283.93x = 4,925.26 × 1,092.25
  4. Step 4: Simplify right side
    3,283.93x = 5,379,615.24
  5. Step 5: Solve for x
    x = 5,379,615.24/3,283.93
  6. Step 6: Final answer
    x = 1,638.16

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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.