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Finding the Fourth Proportional to 3,471.77, 5,207.50 and 1,006.53

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Solution

The fourth proportional to 3,471.77, 5,207.50 and 1,006.53 is: 1,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.77 : 5,207.50 = 1,006.53 : x
  2. Step 2: Convert to fraction form
    3,471.77/5,207.50 = 1,006.53/x
  3. Step 3: Cross multiply
    3,471.77x = 5,207.50 × 1,006.53
  4. Step 4: Simplify right side
    3,471.77x = 5,241,499.94
  5. Step 5: Solve for x
    x = 5,241,499.94/3,471.77
  6. Step 6: Final answer
    x = 1,509.75

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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.