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Finding the Fourth Proportional to 3,472.50, 5,207.94 and 1,006.77

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Solution

The fourth proportional to 3,472.50, 5,207.94 and 1,006.77 is: 1,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.50 : 5,207.94 = 1,006.77 : x
  2. Step 2: Convert to fraction form
    3,472.50/5,207.94 = 1,006.77/x
  3. Step 3: Cross multiply
    3,472.50x = 5,207.94 × 1,006.77
  4. Step 4: Simplify right side
    3,472.50x = 5,243,197.75
  5. Step 5: Solve for x
    x = 5,243,197.75/3,472.50
  6. Step 6: Final answer
    x = 1,509.92

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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.