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Finding the Fourth Proportional to 3,283.50, 4,927.05 and 3,259.02

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Solution

The fourth proportional to 3,283.50, 4,927.05 and 3,259.02 is: 4,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.50 : 4,927.05 = 3,259.02 : x
  2. Step 2: Convert to fraction form
    3,283.50/4,927.05 = 3,259.02/x
  3. Step 3: Cross multiply
    3,283.50x = 4,927.05 × 3,259.02
  4. Step 4: Simplify right side
    3,283.50x = 16,057,354.49
  5. Step 5: Solve for x
    x = 16,057,354.49/3,283.50
  6. Step 6: Final answer
    x = 4,890.32

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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.