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Finding the Fourth Proportional to 4,811.28, 7,215.12 and 1,890

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Solution

The fourth proportional to 4,811.28, 7,215.12 and 1,890 is: 2,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.28 : 7,215.12 = 1,890 : x
  2. Step 2: Convert to fraction form
    4,811.28/7,215.12 = 1,890/x
  3. Step 3: Cross multiply
    4,811.28x = 7,215.12 × 1,890
  4. Step 4: Simplify right side
    4,811.28x = 13,636,576.80
  5. Step 5: Solve for x
    x = 13,636,576.80/4,811.28
  6. Step 6: Final answer
    x = 2,834.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.