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Finding the Fourth Proportional to 6,175.84, 8,523.74 and 5,970.80

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Solution

The fourth proportional to 6,175.84, 8,523.74 and 5,970.80 is: 8,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.84 : 8,523.74 = 5,970.80 : x
  2. Step 2: Convert to fraction form
    6,175.84/8,523.74 = 5,970.80/x
  3. Step 3: Cross multiply
    6,175.84x = 8,523.74 × 5,970.80
  4. Step 4: Simplify right side
    6,175.84x = 50,893,546.79
  5. Step 5: Solve for x
    x = 50,893,546.79/6,175.84
  6. Step 6: Final answer
    x = 8,240.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.