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Finding the Fourth Proportional to 3,505.30, 5,258.86 and 1,040.10

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Solution

The fourth proportional to 3,505.30, 5,258.86 and 1,040.10 is: 1,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.30 : 5,258.86 = 1,040.10 : x
  2. Step 2: Convert to fraction form
    3,505.30/5,258.86 = 1,040.10/x
  3. Step 3: Cross multiply
    3,505.30x = 5,258.86 × 1,040.10
  4. Step 4: Simplify right side
    3,505.30x = 5,469,740.29
  5. Step 5: Solve for x
    x = 5,469,740.29/3,505.30
  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.