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Finding the Fourth Proportional to 4,792.52, 7,188.17 and 1,505.67

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Solution

The fourth proportional to 4,792.52, 7,188.17 and 1,505.67 is: 2,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.52 : 7,188.17 = 1,505.67 : x
  2. Step 2: Convert to fraction form
    4,792.52/7,188.17 = 1,505.67/x
  3. Step 3: Cross multiply
    4,792.52x = 7,188.17 × 1,505.67
  4. Step 4: Simplify right side
    4,792.52x = 10,823,004.40
  5. Step 5: Solve for x
    x = 10,823,004.40/4,792.52
  6. Step 6: Final answer
    x = 2,258.31

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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.