Home / 4,214-6,313.08-3,895.76

Finding the Fourth Proportional to 4,214, 6,313.08 and 3,895.76

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Solution

The fourth proportional to 4,214, 6,313.08 and 3,895.76 is: 5,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214 : 6,313.08 = 3,895.76 : x
  2. Step 2: Convert to fraction form
    4,214/6,313.08 = 3,895.76/x
  3. Step 3: Cross multiply
    4,214x = 6,313.08 × 3,895.76
  4. Step 4: Simplify right side
    4,214x = 24,594,244.54
  5. Step 5: Solve for x
    x = 24,594,244.54/4,214
  6. Step 6: Final answer
    x = 5,836.32

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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.