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Finding the Fourth Proportional to 5,244.76, 7,237.86 and 3,007

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Solution

The fourth proportional to 5,244.76, 7,237.86 and 3,007 is: 4,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.76 : 7,237.86 = 3,007 : x
  2. Step 2: Convert to fraction form
    5,244.76/7,237.86 = 3,007/x
  3. Step 3: Cross multiply
    5,244.76x = 7,237.86 × 3,007
  4. Step 4: Simplify right side
    5,244.76x = 21,764,245.02
  5. Step 5: Solve for x
    x = 21,764,245.02/5,244.76
  6. Step 6: Final answer
    x = 4,149.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.