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Finding the Fourth Proportional to 5,865.62, 8,094.50 and 3,176.84

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Solution

The fourth proportional to 5,865.62, 8,094.50 and 3,176.84 is: 4,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.62 : 8,094.50 = 3,176.84 : x
  2. Step 2: Convert to fraction form
    5,865.62/8,094.50 = 3,176.84/x
  3. Step 3: Cross multiply
    5,865.62x = 8,094.50 × 3,176.84
  4. Step 4: Simplify right side
    5,865.62x = 25,714,902.11
  5. Step 5: Solve for x
    x = 25,714,902.11/5,865.62
  6. Step 6: Final answer
    x = 4,384.01

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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.