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Finding the Fourth Proportional to 5,047.86, 6,965.84 and 2,809.67

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Solution

The fourth proportional to 5,047.86, 6,965.84 and 2,809.67 is: 3,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.86 : 6,965.84 = 2,809.67 : x
  2. Step 2: Convert to fraction form
    5,047.86/6,965.84 = 2,809.67/x
  3. Step 3: Cross multiply
    5,047.86x = 6,965.84 × 2,809.67
  4. Step 4: Simplify right side
    5,047.86x = 19,571,736.11
  5. Step 5: Solve for x
    x = 19,571,736.11/5,047.86
  6. Step 6: Final answer
    x = 3,877.23

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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.