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Finding the Fourth Proportional to 4,804, 6,632.55 and 3,682.86

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Solution

The fourth proportional to 4,804, 6,632.55 and 3,682.86 is: 5,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804 : 6,632.55 = 3,682.86 : x
  2. Step 2: Convert to fraction form
    4,804/6,632.55 = 3,682.86/x
  3. Step 3: Cross multiply
    4,804x = 6,632.55 × 3,682.86
  4. Step 4: Simplify right side
    4,804x = 24,426,753.09
  5. Step 5: Solve for x
    x = 24,426,753.09/4,804
  6. Step 6: Final answer
    x = 5,084.67

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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.