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Finding the Fourth Proportional to 3,506.22, 5,258.52 and 1,425.33

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Solution

The fourth proportional to 3,506.22, 5,258.52 and 1,425.33 is: 2,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.22 : 5,258.52 = 1,425.33 : x
  2. Step 2: Convert to fraction form
    3,506.22/5,258.52 = 1,425.33/x
  3. Step 3: Cross multiply
    3,506.22x = 5,258.52 × 1,425.33
  4. Step 4: Simplify right side
    3,506.22x = 7,495,126.31
  5. Step 5: Solve for x
    x = 7,495,126.31/3,506.22
  6. Step 6: Final answer
    x = 2,137.67

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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.