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Finding the Fourth Proportional to 4,303.28, 6,456 and 2,113.04

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Solution

The fourth proportional to 4,303.28, 6,456 and 2,113.04 is: 3,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.28 : 6,456 = 2,113.04 : x
  2. Step 2: Convert to fraction form
    4,303.28/6,456 = 2,113.04/x
  3. Step 3: Cross multiply
    4,303.28x = 6,456 × 2,113.04
  4. Step 4: Simplify right side
    4,303.28x = 13,641,786.24
  5. Step 5: Solve for x
    x = 13,641,786.24/4,303.28
  6. Step 6: Final answer
    x = 3,170.09

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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.