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Finding the Fourth Proportional to 5,654, 7,803.24 and 3,170

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Solution

The fourth proportional to 5,654, 7,803.24 and 3,170 is: 4,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654 : 7,803.24 = 3,170 : x
  2. Step 2: Convert to fraction form
    5,654/7,803.24 = 3,170/x
  3. Step 3: Cross multiply
    5,654x = 7,803.24 × 3,170
  4. Step 4: Simplify right side
    5,654x = 24,736,270.80
  5. Step 5: Solve for x
    x = 24,736,270.80/5,654
  6. Step 6: Final answer
    x = 4,375.00

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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.