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Finding the Fourth Proportional to 5,219.35, 7,829.84 and 1,756.33

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Solution

The fourth proportional to 5,219.35, 7,829.84 and 1,756.33 is: 2,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.35 : 7,829.84 = 1,756.33 : x
  2. Step 2: Convert to fraction form
    5,219.35/7,829.84 = 1,756.33/x
  3. Step 3: Cross multiply
    5,219.35x = 7,829.84 × 1,756.33
  4. Step 4: Simplify right side
    5,219.35x = 13,751,774.11
  5. Step 5: Solve for x
    x = 13,751,774.11/5,219.35
  6. Step 6: Final answer
    x = 2,634.77

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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.