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Finding the Fourth Proportional to 3,197.54, 4,796.50 and 1,006.34

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Solution

The fourth proportional to 3,197.54, 4,796.50 and 1,006.34 is: 1,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.54 : 4,796.50 = 1,006.34 : x
  2. Step 2: Convert to fraction form
    3,197.54/4,796.50 = 1,006.34/x
  3. Step 3: Cross multiply
    3,197.54x = 4,796.50 × 1,006.34
  4. Step 4: Simplify right side
    3,197.54x = 4,826,909.81
  5. Step 5: Solve for x
    x = 4,826,909.81/3,197.54
  6. Step 6: Final answer
    x = 1,509.57

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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.