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Finding the Fourth Proportional to 5,182.92, 7,160.78 and 3,618

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Solution

The fourth proportional to 5,182.92, 7,160.78 and 3,618 is: 4,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.92 : 7,160.78 = 3,618 : x
  2. Step 2: Convert to fraction form
    5,182.92/7,160.78 = 3,618/x
  3. Step 3: Cross multiply
    5,182.92x = 7,160.78 × 3,618
  4. Step 4: Simplify right side
    5,182.92x = 25,907,702.04
  5. Step 5: Solve for x
    x = 25,907,702.04/5,182.92
  6. Step 6: Final answer
    x = 4,998.67

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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.