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Finding the Fourth Proportional to 3,288.30, 4,927.05 and 2,823.90

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Solution

The fourth proportional to 3,288.30, 4,927.05 and 2,823.90 is: 4,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.30 : 4,927.05 = 2,823.90 : x
  2. Step 2: Convert to fraction form
    3,288.30/4,927.05 = 2,823.90/x
  3. Step 3: Cross multiply
    3,288.30x = 4,927.05 × 2,823.90
  4. Step 4: Simplify right side
    3,288.30x = 13,913,496.50
  5. Step 5: Solve for x
    x = 13,913,496.50/3,288.30
  6. Step 6: Final answer
    x = 4,231.21

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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.