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Finding the Fourth Proportional to 3,537.26, 5,307.88 and 3,258.42

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Solution

The fourth proportional to 3,537.26, 5,307.88 and 3,258.42 is: 4,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.26 : 5,307.88 = 3,258.42 : x
  2. Step 2: Convert to fraction form
    3,537.26/5,307.88 = 3,258.42/x
  3. Step 3: Cross multiply
    3,537.26x = 5,307.88 × 3,258.42
  4. Step 4: Simplify right side
    3,537.26x = 17,295,293.15
  5. Step 5: Solve for x
    x = 17,295,293.15/3,537.26
  6. Step 6: Final answer
    x = 4,889.46

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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.