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Finding the Fourth Proportional to 3,407.79, 5,110.50 and 1,216.20

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Solution

The fourth proportional to 3,407.79, 5,110.50 and 1,216.20 is: 1,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.79 : 5,110.50 = 1,216.20 : x
  2. Step 2: Convert to fraction form
    3,407.79/5,110.50 = 1,216.20/x
  3. Step 3: Cross multiply
    3,407.79x = 5,110.50 × 1,216.20
  4. Step 4: Simplify right side
    3,407.79x = 6,215,390.10
  5. Step 5: Solve for x
    x = 6,215,390.10/3,407.79
  6. Step 6: Final answer
    x = 1,823.88

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Why These Related Problems?

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