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Finding the Fourth Proportional to 4,792.45, 7,189.40 and 1,505.24

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Solution

The fourth proportional to 4,792.45, 7,189.40 and 1,505.24 is: 2,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.45 : 7,189.40 = 1,505.24 : x
  2. Step 2: Convert to fraction form
    4,792.45/7,189.40 = 1,505.24/x
  3. Step 3: Cross multiply
    4,792.45x = 7,189.40 × 1,505.24
  4. Step 4: Simplify right side
    4,792.45x = 10,821,740.27
  5. Step 5: Solve for x
    x = 10,821,740.27/4,792.45
  6. Step 6: Final answer
    x = 2,258.08

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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.