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Finding the Fourth Proportional to 3,873.60, 5,345.33 and 2,301.39

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Solution

The fourth proportional to 3,873.60, 5,345.33 and 2,301.39 is: 3,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.60 : 5,345.33 = 2,301.39 : x
  2. Step 2: Convert to fraction form
    3,873.60/5,345.33 = 2,301.39/x
  3. Step 3: Cross multiply
    3,873.60x = 5,345.33 × 2,301.39
  4. Step 4: Simplify right side
    3,873.60x = 12,301,677.50
  5. Step 5: Solve for x
    x = 12,301,677.50/3,873.60
  6. Step 6: Final answer
    x = 3,175.77

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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.