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Finding the Fourth Proportional to 3,471.84, 5,206.56 and 1,005.99

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Solution

The fourth proportional to 3,471.84, 5,206.56 and 1,005.99 is: 1,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.84 : 5,206.56 = 1,005.99 : x
  2. Step 2: Convert to fraction form
    3,471.84/5,206.56 = 1,005.99/x
  3. Step 3: Cross multiply
    3,471.84x = 5,206.56 × 1,005.99
  4. Step 4: Simplify right side
    3,471.84x = 5,237,747.29
  5. Step 5: Solve for x
    x = 5,237,747.29/3,471.84
  6. Step 6: Final answer
    x = 1,508.64

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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.