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Finding the Fourth Proportional to 5,676.65, 8,502.66 and 2,748.81

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Solution

The fourth proportional to 5,676.65, 8,502.66 and 2,748.81 is: 4,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.65 : 8,502.66 = 2,748.81 : x
  2. Step 2: Convert to fraction form
    5,676.65/8,502.66 = 2,748.81/x
  3. Step 3: Cross multiply
    5,676.65x = 8,502.66 × 2,748.81
  4. Step 4: Simplify right side
    5,676.65x = 23,372,196.83
  5. Step 5: Solve for x
    x = 23,372,196.83/5,676.65
  6. Step 6: Final answer
    x = 4,117.25

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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.