Home / 3,827.59-5,743.02-2,094.19

Finding the Fourth Proportional to 3,827.59, 5,743.02 and 2,094.19

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Solution

The fourth proportional to 3,827.59, 5,743.02 and 2,094.19 is: 3,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.59 : 5,743.02 = 2,094.19 : x
  2. Step 2: Convert to fraction form
    3,827.59/5,743.02 = 2,094.19/x
  3. Step 3: Cross multiply
    3,827.59x = 5,743.02 × 2,094.19
  4. Step 4: Simplify right side
    3,827.59x = 12,026,975.05
  5. Step 5: Solve for x
    x = 12,026,975.05/3,827.59
  6. Step 6: Final answer
    x = 3,142.18

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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.