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Finding the Fourth Proportional to 5,654, 8,475.21 and 2,369

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Solution

The fourth proportional to 5,654, 8,475.21 and 2,369 is: 3,551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654 : 8,475.21 = 2,369 : x
  2. Step 2: Convert to fraction form
    5,654/8,475.21 = 2,369/x
  3. Step 3: Cross multiply
    5,654x = 8,475.21 × 2,369
  4. Step 4: Simplify right side
    5,654x = 20,077,772.49
  5. Step 5: Solve for x
    x = 20,077,772.49/5,654
  6. Step 6: Final answer
    x = 3,551.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.