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Finding the Fourth Proportional to 4,134.50, 5,703.06 and 2,718.38

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Solution

The fourth proportional to 4,134.50, 5,703.06 and 2,718.38 is: 3,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.50 : 5,703.06 = 2,718.38 : x
  2. Step 2: Convert to fraction form
    4,134.50/5,703.06 = 2,718.38/x
  3. Step 3: Cross multiply
    4,134.50x = 5,703.06 × 2,718.38
  4. Step 4: Simplify right side
    4,134.50x = 15,503,084.24
  5. Step 5: Solve for x
    x = 15,503,084.24/4,134.50
  6. Step 6: Final answer
    x = 3,749.69

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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.