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Finding the Fourth Proportional to 3,789.54, 5,228.64 and 2,597.04

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Solution

The fourth proportional to 3,789.54, 5,228.64 and 2,597.04 is: 3,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.54 : 5,228.64 = 2,597.04 : x
  2. Step 2: Convert to fraction form
    3,789.54/5,228.64 = 2,597.04/x
  3. Step 3: Cross multiply
    3,789.54x = 5,228.64 × 2,597.04
  4. Step 4: Simplify right side
    3,789.54x = 13,578,987.23
  5. Step 5: Solve for x
    x = 13,578,987.23/3,789.54
  6. Step 6: Final answer
    x = 3,583.28

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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.