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Finding the Fourth Proportional to 5,585.82, 7,708.49 and 3,228

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Solution

The fourth proportional to 5,585.82, 7,708.49 and 3,228 is: 4,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.82 : 7,708.49 = 3,228 : x
  2. Step 2: Convert to fraction form
    5,585.82/7,708.49 = 3,228/x
  3. Step 3: Cross multiply
    5,585.82x = 7,708.49 × 3,228
  4. Step 4: Simplify right side
    5,585.82x = 24,883,005.72
  5. Step 5: Solve for x
    x = 24,883,005.72/5,585.82
  6. Step 6: Final answer
    x = 4,454.67

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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.