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Finding the Fourth Proportional to 5,676.08, 8,502.74 and 2,902.64

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Solution

The fourth proportional to 5,676.08, 8,502.74 and 2,902.64 is: 4,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.08 : 8,502.74 = 2,902.64 : x
  2. Step 2: Convert to fraction form
    5,676.08/8,502.74 = 2,902.64/x
  3. Step 3: Cross multiply
    5,676.08x = 8,502.74 × 2,902.64
  4. Step 4: Simplify right side
    5,676.08x = 24,680,393.23
  5. Step 5: Solve for x
    x = 24,680,393.23/5,676.08
  6. Step 6: Final answer
    x = 4,348.14

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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.