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Finding the Fourth Proportional to 6,193.70, 8,547.24 and 3,361.07

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Solution

The fourth proportional to 6,193.70, 8,547.24 and 3,361.07 is: 4,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.70 : 8,547.24 = 3,361.07 : x
  2. Step 2: Convert to fraction form
    6,193.70/8,547.24 = 3,361.07/x
  3. Step 3: Cross multiply
    6,193.70x = 8,547.24 × 3,361.07
  4. Step 4: Simplify right side
    6,193.70x = 28,727,829.21
  5. Step 5: Solve for x
    x = 28,727,829.21/6,193.70
  6. Step 6: Final answer
    x = 4,638.24

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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.