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Finding the Fourth Proportional to 3,869.10, 5,803.65 and 1,676.30

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Solution

The fourth proportional to 3,869.10, 5,803.65 and 1,676.30 is: 2,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.10 : 5,803.65 = 1,676.30 : x
  2. Step 2: Convert to fraction form
    3,869.10/5,803.65 = 1,676.30/x
  3. Step 3: Cross multiply
    3,869.10x = 5,803.65 × 1,676.30
  4. Step 4: Simplify right side
    3,869.10x = 9,728,658.50
  5. Step 5: Solve for x
    x = 9,728,658.50/3,869.10
  6. Step 6: Final answer
    x = 2,514.45

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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.