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Finding the Fourth Proportional to 5,631.77, 8,447.65 and 1,736.17

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Solution

The fourth proportional to 5,631.77, 8,447.65 and 1,736.17 is: 2,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.77 : 8,447.65 = 1,736.17 : x
  2. Step 2: Convert to fraction form
    5,631.77/8,447.65 = 1,736.17/x
  3. Step 3: Cross multiply
    5,631.77x = 8,447.65 × 1,736.17
  4. Step 4: Simplify right side
    5,631.77x = 14,666,556.50
  5. Step 5: Solve for x
    x = 14,666,556.50/5,631.77
  6. Step 6: Final answer
    x = 2,604.25

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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.