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Finding the Fourth Proportional to 3,873.35, 5,809.98 and 951.68

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Solution

The fourth proportional to 3,873.35, 5,809.98 and 951.68 is: 1,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.35 : 5,809.98 = 951.68 : x
  2. Step 2: Convert to fraction form
    3,873.35/5,809.98 = 951.68/x
  3. Step 3: Cross multiply
    3,873.35x = 5,809.98 × 951.68
  4. Step 4: Simplify right side
    3,873.35x = 5,529,254.51
  5. Step 5: Solve for x
    x = 5,529,254.51/3,873.35
  6. Step 6: Final answer
    x = 1,427.51

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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.