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Finding the Fourth Proportional to 3,005.10, 4,147.02 and 1,825.38

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Solution

The fourth proportional to 3,005.10, 4,147.02 and 1,825.38 is: 2,519.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.10 : 4,147.02 = 1,825.38 : x
  2. Step 2: Convert to fraction form
    3,005.10/4,147.02 = 1,825.38/x
  3. Step 3: Cross multiply
    3,005.10x = 4,147.02 × 1,825.38
  4. Step 4: Simplify right side
    3,005.10x = 7,569,887.37
  5. Step 5: Solve for x
    x = 7,569,887.37/3,005.10
  6. Step 6: Final answer
    x = 2,519.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.