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Finding the Fourth Proportional to 4,716.84, 6,523.34 and 4,126.35

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Solution

The fourth proportional to 4,716.84, 6,523.34 and 4,126.35 is: 5,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.84 : 6,523.34 = 4,126.35 : x
  2. Step 2: Convert to fraction form
    4,716.84/6,523.34 = 4,126.35/x
  3. Step 3: Cross multiply
    4,716.84x = 6,523.34 × 4,126.35
  4. Step 4: Simplify right side
    4,716.84x = 26,917,563.38
  5. Step 5: Solve for x
    x = 26,917,563.38/4,716.84
  6. Step 6: Final answer
    x = 5,706.69

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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.