Home / 4,065-6,097.80-2,976.24

Finding the Fourth Proportional to 4,065, 6,097.80 and 2,976.24

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Solution

The fourth proportional to 4,065, 6,097.80 and 2,976.24 is: 4,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065 : 6,097.80 = 2,976.24 : x
  2. Step 2: Convert to fraction form
    4,065/6,097.80 = 2,976.24/x
  3. Step 3: Cross multiply
    4,065x = 6,097.80 × 2,976.24
  4. Step 4: Simplify right side
    4,065x = 18,148,516.27
  5. Step 5: Solve for x
    x = 18,148,516.27/4,065
  6. Step 6: Final answer
    x = 4,464.58

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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.