Home / 3,822.40-5,733.76-2,280

Finding the Fourth Proportional to 3,822.40, 5,733.76 and 2,280

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Solution

The fourth proportional to 3,822.40, 5,733.76 and 2,280 is: 3,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.40 : 5,733.76 = 2,280 : x
  2. Step 2: Convert to fraction form
    3,822.40/5,733.76 = 2,280/x
  3. Step 3: Cross multiply
    3,822.40x = 5,733.76 × 2,280
  4. Step 4: Simplify right side
    3,822.40x = 13,072,972.80
  5. Step 5: Solve for x
    x = 13,072,972.80/3,822.40
  6. Step 6: Final answer
    x = 3,420.10

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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.