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Finding the Fourth Proportional to 6,176, 8,523.04 and 3,381.60

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Solution

The fourth proportional to 6,176, 8,523.04 and 3,381.60 is: 4,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176 : 8,523.04 = 3,381.60 : x
  2. Step 2: Convert to fraction form
    6,176/8,523.04 = 3,381.60/x
  3. Step 3: Cross multiply
    6,176x = 8,523.04 × 3,381.60
  4. Step 4: Simplify right side
    6,176x = 28,821,512.06
  5. Step 5: Solve for x
    x = 28,821,512.06/6,176
  6. Step 6: Final answer
    x = 4,666.70

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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.