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Finding the Fourth Proportional to 4,792.49, 7,189.03 and 1,505.71

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Solution

The fourth proportional to 4,792.49, 7,189.03 and 1,505.71 is: 2,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.49 : 7,189.03 = 1,505.71 : x
  2. Step 2: Convert to fraction form
    4,792.49/7,189.03 = 1,505.71/x
  3. Step 3: Cross multiply
    4,792.49x = 7,189.03 × 1,505.71
  4. Step 4: Simplify right side
    4,792.49x = 10,824,558.42
  5. Step 5: Solve for x
    x = 10,824,558.42/4,792.49
  6. Step 6: Final answer
    x = 2,258.65

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Double scale
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1.5x scale

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.