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Finding the Fourth Proportional to 3,406.77, 5,111.07 and 1,215.72

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Solution

The fourth proportional to 3,406.77, 5,111.07 and 1,215.72 is: 1,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.77 : 5,111.07 = 1,215.72 : x
  2. Step 2: Convert to fraction form
    3,406.77/5,111.07 = 1,215.72/x
  3. Step 3: Cross multiply
    3,406.77x = 5,111.07 × 1,215.72
  4. Step 4: Simplify right side
    3,406.77x = 6,213,630.02
  5. Step 5: Solve for x
    x = 6,213,630.02/3,406.77
  6. Step 6: Final answer
    x = 1,823.91

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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.