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Finding the Fourth Proportional to 4,792.68, 7,190.01 and 1,505.25

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Solution

The fourth proportional to 4,792.68, 7,190.01 and 1,505.25 is: 2,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.68 : 7,190.01 = 1,505.25 : x
  2. Step 2: Convert to fraction form
    4,792.68/7,190.01 = 1,505.25/x
  3. Step 3: Cross multiply
    4,792.68x = 7,190.01 × 1,505.25
  4. Step 4: Simplify right side
    4,792.68x = 10,822,762.55
  5. Step 5: Solve for x
    x = 10,822,762.55/4,792.68
  6. Step 6: Final answer
    x = 2,258.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.