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Finding the Fourth Proportional to 3,407.54, 5,110.22 and 1,098.50

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Solution

The fourth proportional to 3,407.54, 5,110.22 and 1,098.50 is: 1,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.54 : 5,110.22 = 1,098.50 : x
  2. Step 2: Convert to fraction form
    3,407.54/5,110.22 = 1,098.50/x
  3. Step 3: Cross multiply
    3,407.54x = 5,110.22 × 1,098.50
  4. Step 4: Simplify right side
    3,407.54x = 5,613,576.67
  5. Step 5: Solve for x
    x = 5,613,576.67/3,407.54
  6. Step 6: Final answer
    x = 1,647.40

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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.