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Finding the Fourth Proportional to 3,798, 5,694.90 and 2,045.10

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Solution

The fourth proportional to 3,798, 5,694.90 and 2,045.10 is: 3,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798 : 5,694.90 = 2,045.10 : x
  2. Step 2: Convert to fraction form
    3,798/5,694.90 = 2,045.10/x
  3. Step 3: Cross multiply
    3,798x = 5,694.90 × 2,045.10
  4. Step 4: Simplify right side
    3,798x = 11,646,639.99
  5. Step 5: Solve for x
    x = 11,646,639.99/3,798
  6. Step 6: Final answer
    x = 3,066.52

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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.