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Finding the Fourth Proportional to 5,324.80, 7,984.12 and 2,038.16

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Solution

The fourth proportional to 5,324.80, 7,984.12 and 2,038.16 is: 3,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.80 : 7,984.12 = 2,038.16 : x
  2. Step 2: Convert to fraction form
    5,324.80/7,984.12 = 2,038.16/x
  3. Step 3: Cross multiply
    5,324.80x = 7,984.12 × 2,038.16
  4. Step 4: Simplify right side
    5,324.80x = 16,272,914.02
  5. Step 5: Solve for x
    x = 16,272,914.02/5,324.80
  6. Step 6: Final answer
    x = 3,056.06

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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.