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Finding the Fourth Proportional to 5,427, 8,140.50 and 1,323

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Solution

The fourth proportional to 5,427, 8,140.50 and 1,323 is: 1,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427 : 8,140.50 = 1,323 : x
  2. Step 2: Convert to fraction form
    5,427/8,140.50 = 1,323/x
  3. Step 3: Cross multiply
    5,427x = 8,140.50 × 1,323
  4. Step 4: Simplify right side
    5,427x = 10,769,881.50
  5. Step 5: Solve for x
    x = 10,769,881.50/5,427
  6. Step 6: Final answer
    x = 1,984.50

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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.