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Finding the Fourth Proportional to 3,506.22, 5,258.42 and 1,040.46

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Solution

The fourth proportional to 3,506.22, 5,258.42 and 1,040.46 is: 1,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.22 : 5,258.42 = 1,040.46 : x
  2. Step 2: Convert to fraction form
    3,506.22/5,258.42 = 1,040.46/x
  3. Step 3: Cross multiply
    3,506.22x = 5,258.42 × 1,040.46
  4. Step 4: Simplify right side
    3,506.22x = 5,471,175.67
  5. Step 5: Solve for x
    x = 5,471,175.67/3,506.22
  6. Step 6: Final answer
    x = 1,560.42

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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.