Home / 5,218.84-7,829.43-1,756

Finding the Fourth Proportional to 5,218.84, 7,829.43 and 1,756

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Solution

The fourth proportional to 5,218.84, 7,829.43 and 1,756 is: 2,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.84 : 7,829.43 = 1,756 : x
  2. Step 2: Convert to fraction form
    5,218.84/7,829.43 = 1,756/x
  3. Step 3: Cross multiply
    5,218.84x = 7,829.43 × 1,756
  4. Step 4: Simplify right side
    5,218.84x = 13,748,479.08
  5. Step 5: Solve for x
    x = 13,748,479.08/5,218.84
  6. Step 6: Final answer
    x = 2,634.39

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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.