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Finding the Fourth Proportional to 5,047.76, 6,965.88 and 2,951.84

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Solution

The fourth proportional to 5,047.76, 6,965.88 and 2,951.84 is: 4,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.76 : 6,965.88 = 2,951.84 : x
  2. Step 2: Convert to fraction form
    5,047.76/6,965.88 = 2,951.84/x
  3. Step 3: Cross multiply
    5,047.76x = 6,965.88 × 2,951.84
  4. Step 4: Simplify right side
    5,047.76x = 20,562,163.22
  5. Step 5: Solve for x
    x = 20,562,163.22/5,047.76
  6. Step 6: Final answer
    x = 4,073.52

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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.