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Finding the Fourth Proportional to 4,305.28, 6,455.52 and 2,109.28

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Solution

The fourth proportional to 4,305.28, 6,455.52 and 2,109.28 is: 3,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.28 : 6,455.52 = 2,109.28 : x
  2. Step 2: Convert to fraction form
    4,305.28/6,455.52 = 2,109.28/x
  3. Step 3: Cross multiply
    4,305.28x = 6,455.52 × 2,109.28
  4. Step 4: Simplify right side
    4,305.28x = 13,616,499.23
  5. Step 5: Solve for x
    x = 13,616,499.23/4,305.28
  6. Step 6: Final answer
    x = 3,162.74

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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.