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Finding the Fourth Proportional to 4,176, 5,763.09 and 2,313

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Solution

The fourth proportional to 4,176, 5,763.09 and 2,313 is: 3,192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176 : 5,763.09 = 2,313 : x
  2. Step 2: Convert to fraction form
    4,176/5,763.09 = 2,313/x
  3. Step 3: Cross multiply
    4,176x = 5,763.09 × 2,313
  4. Step 4: Simplify right side
    4,176x = 13,330,027.17
  5. Step 5: Solve for x
    x = 13,330,027.17/4,176
  6. Step 6: Final answer
    x = 3,192.06

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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.