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Finding the Fourth Proportional to 6,357.96, 8,774.33 and 3,705.21

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Solution

The fourth proportional to 6,357.96, 8,774.33 and 3,705.21 is: 5,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.96 : 8,774.33 = 3,705.21 : x
  2. Step 2: Convert to fraction form
    6,357.96/8,774.33 = 3,705.21/x
  3. Step 3: Cross multiply
    6,357.96x = 8,774.33 × 3,705.21
  4. Step 4: Simplify right side
    6,357.96x = 32,510,716.73
  5. Step 5: Solve for x
    x = 32,510,716.73/6,357.96
  6. Step 6: Final answer
    x = 5,113.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.