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Finding the Fourth Proportional to 3,406.92, 5,109.30 and 1,215.60

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Solution

The fourth proportional to 3,406.92, 5,109.30 and 1,215.60 is: 1,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.92 : 5,109.30 = 1,215.60 : x
  2. Step 2: Convert to fraction form
    3,406.92/5,109.30 = 1,215.60/x
  3. Step 3: Cross multiply
    3,406.92x = 5,109.30 × 1,215.60
  4. Step 4: Simplify right side
    3,406.92x = 6,210,865.08
  5. Step 5: Solve for x
    x = 6,210,865.08/3,406.92
  6. Step 6: Final answer
    x = 1,823.01

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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.