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Finding the Fourth Proportional to 5,676.04, 8,490.54 and 5,136.04

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Solution

The fourth proportional to 5,676.04, 8,490.54 and 5,136.04 is: 7,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.04 : 8,490.54 = 5,136.04 : x
  2. Step 2: Convert to fraction form
    5,676.04/8,490.54 = 5,136.04/x
  3. Step 3: Cross multiply
    5,676.04x = 8,490.54 × 5,136.04
  4. Step 4: Simplify right side
    5,676.04x = 43,607,753.06
  5. Step 5: Solve for x
    x = 43,607,753.06/5,676.04
  6. Step 6: Final answer
    x = 7,682.78

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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.