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Finding the Fourth Proportional to 3,227.48, 4,808.78 and 3,015.32

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Solution

The fourth proportional to 3,227.48, 4,808.78 and 3,015.32 is: 4,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.48 : 4,808.78 = 3,015.32 : x
  2. Step 2: Convert to fraction form
    3,227.48/4,808.78 = 3,015.32/x
  3. Step 3: Cross multiply
    3,227.48x = 4,808.78 × 3,015.32
  4. Step 4: Simplify right side
    3,227.48x = 14,499,971.39
  5. Step 5: Solve for x
    x = 14,499,971.39/3,227.48
  6. Step 6: Final answer
    x = 4,492.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.