Home / 4,682-7,023.74-2,342.18

Finding the Fourth Proportional to 4,682, 7,023.74 and 2,342.18

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Solution

The fourth proportional to 4,682, 7,023.74 and 2,342.18 is: 3,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682 : 7,023.74 = 2,342.18 : x
  2. Step 2: Convert to fraction form
    4,682/7,023.74 = 2,342.18/x
  3. Step 3: Cross multiply
    4,682x = 7,023.74 × 2,342.18
  4. Step 4: Simplify right side
    4,682x = 16,450,863.35
  5. Step 5: Solve for x
    x = 16,450,863.35/4,682
  6. Step 6: Final answer
    x = 3,513.64

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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.