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Finding the Fourth Proportional to 3,675.21, 5,071.19 and 2,258.44

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Solution

The fourth proportional to 3,675.21, 5,071.19 and 2,258.44 is: 3,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.21 : 5,071.19 = 2,258.44 : x
  2. Step 2: Convert to fraction form
    3,675.21/5,071.19 = 2,258.44/x
  3. Step 3: Cross multiply
    3,675.21x = 5,071.19 × 2,258.44
  4. Step 4: Simplify right side
    3,675.21x = 11,452,978.34
  5. Step 5: Solve for x
    x = 11,452,978.34/3,675.21
  6. Step 6: Final answer
    x = 3,116.28

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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.