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Finding the Fourth Proportional to 5,651.84, 8,477.84 and 1,756

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Solution

The fourth proportional to 5,651.84, 8,477.84 and 1,756 is: 2,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.84 : 8,477.84 = 1,756 : x
  2. Step 2: Convert to fraction form
    5,651.84/8,477.84 = 1,756/x
  3. Step 3: Cross multiply
    5,651.84x = 8,477.84 × 1,756
  4. Step 4: Simplify right side
    5,651.84x = 14,887,087.04
  5. Step 5: Solve for x
    x = 14,887,087.04/5,651.84
  6. Step 6: Final answer
    x = 2,634.02

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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.