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Finding the Fourth Proportional to 6,113.21, 8,435.75 and 3,595.41

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Solution

The fourth proportional to 6,113.21, 8,435.75 and 3,595.41 is: 4,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.21 : 8,435.75 = 3,595.41 : x
  2. Step 2: Convert to fraction form
    6,113.21/8,435.75 = 3,595.41/x
  3. Step 3: Cross multiply
    6,113.21x = 8,435.75 × 3,595.41
  4. Step 4: Simplify right side
    6,113.21x = 30,329,961.93
  5. Step 5: Solve for x
    x = 30,329,961.93/6,113.21
  6. Step 6: Final answer
    x = 4,961.38

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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.