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Finding the Fourth Proportional to 3,873.03, 5,345.37 and 2,301

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Solution

The fourth proportional to 3,873.03, 5,345.37 and 2,301 is: 3,175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.03 : 5,345.37 = 2,301 : x
  2. Step 2: Convert to fraction form
    3,873.03/5,345.37 = 2,301/x
  3. Step 3: Cross multiply
    3,873.03x = 5,345.37 × 2,301
  4. Step 4: Simplify right side
    3,873.03x = 12,299,696.37
  5. Step 5: Solve for x
    x = 12,299,696.37/3,873.03
  6. Step 6: Final answer
    x = 3,175.73

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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.