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Finding the Fourth Proportional to 3,505.26, 5,258.94 and 1,040.16

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Solution

The fourth proportional to 3,505.26, 5,258.94 and 1,040.16 is: 1,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.26 : 5,258.94 = 1,040.16 : x
  2. Step 2: Convert to fraction form
    3,505.26/5,258.94 = 1,040.16/x
  3. Step 3: Cross multiply
    3,505.26x = 5,258.94 × 1,040.16
  4. Step 4: Simplify right side
    3,505.26x = 5,470,139.03
  5. Step 5: Solve for x
    x = 5,470,139.03/3,505.26
  6. Step 6: Final answer
    x = 1,560.55

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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.