Home / 3,584-4,946.24-2,012.16

Finding the Fourth Proportional to 3,584, 4,946.24 and 2,012.16

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Solution

The fourth proportional to 3,584, 4,946.24 and 2,012.16 is: 2,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584 : 4,946.24 = 2,012.16 : x
  2. Step 2: Convert to fraction form
    3,584/4,946.24 = 2,012.16/x
  3. Step 3: Cross multiply
    3,584x = 4,946.24 × 2,012.16
  4. Step 4: Simplify right side
    3,584x = 9,952,626.28
  5. Step 5: Solve for x
    x = 9,952,626.28/3,584
  6. Step 6: Final answer
    x = 2,776.96

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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.