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Finding the Fourth Proportional to 3,505.83, 5,258.57 and 1,040.67

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Solution

The fourth proportional to 3,505.83, 5,258.57 and 1,040.67 is: 1,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.83 : 5,258.57 = 1,040.67 : x
  2. Step 2: Convert to fraction form
    3,505.83/5,258.57 = 1,040.67/x
  3. Step 3: Cross multiply
    3,505.83x = 5,258.57 × 1,040.67
  4. Step 4: Simplify right side
    3,505.83x = 5,472,430.84
  5. Step 5: Solve for x
    x = 5,472,430.84/3,505.83
  6. Step 6: Final answer
    x = 1,560.95

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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.