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Finding the Fourth Proportional to 6,112.35, 8,435.23 and 3,594

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Solution

The fourth proportional to 6,112.35, 8,435.23 and 3,594 is: 4,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.35 : 8,435.23 = 3,594 : x
  2. Step 2: Convert to fraction form
    6,112.35/8,435.23 = 3,594/x
  3. Step 3: Cross multiply
    6,112.35x = 8,435.23 × 3,594
  4. Step 4: Simplify right side
    6,112.35x = 30,316,216.62
  5. Step 5: Solve for x
    x = 30,316,216.62/6,112.35
  6. Step 6: Final answer
    x = 4,959.83

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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.