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Finding the Fourth Proportional to 5,111.94, 7,667.04 and 1,649.19

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Solution

The fourth proportional to 5,111.94, 7,667.04 and 1,649.19 is: 2,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.94 : 7,667.04 = 1,649.19 : x
  2. Step 2: Convert to fraction form
    5,111.94/7,667.04 = 1,649.19/x
  3. Step 3: Cross multiply
    5,111.94x = 7,667.04 × 1,649.19
  4. Step 4: Simplify right side
    5,111.94x = 12,644,405.70
  5. Step 5: Solve for x
    x = 12,644,405.70/5,111.94
  6. Step 6: Final answer
    x = 2,473.50

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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.