Home / 3,856.50-5,784.32-1,083.28

Finding the Fourth Proportional to 3,856.50, 5,784.32 and 1,083.28

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Solution

The fourth proportional to 3,856.50, 5,784.32 and 1,083.28 is: 1,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.50 : 5,784.32 = 1,083.28 : x
  2. Step 2: Convert to fraction form
    3,856.50/5,784.32 = 1,083.28/x
  3. Step 3: Cross multiply
    3,856.50x = 5,784.32 × 1,083.28
  4. Step 4: Simplify right side
    3,856.50x = 6,266,038.17
  5. Step 5: Solve for x
    x = 6,266,038.17/3,856.50
  6. Step 6: Final answer
    x = 1,624.80

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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.