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Finding the Fourth Proportional to 3,047.63, 4,194.79 and 2,715.93

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Solution

The fourth proportional to 3,047.63, 4,194.79 and 2,715.93 is: 3,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.63 : 4,194.79 = 2,715.93 : x
  2. Step 2: Convert to fraction form
    3,047.63/4,194.79 = 2,715.93/x
  3. Step 3: Cross multiply
    3,047.63x = 4,194.79 × 2,715.93
  4. Step 4: Simplify right side
    3,047.63x = 11,392,749.21
  5. Step 5: Solve for x
    x = 11,392,749.21/3,047.63
  6. Step 6: Final answer
    x = 3,738.24

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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.