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Finding the Fourth Proportional to 6,076.67, 8,386.17 and 4,056.62

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Solution

The fourth proportional to 6,076.67, 8,386.17 and 4,056.62 is: 5,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.67 : 8,386.17 = 4,056.62 : x
  2. Step 2: Convert to fraction form
    6,076.67/8,386.17 = 4,056.62/x
  3. Step 3: Cross multiply
    6,076.67x = 8,386.17 × 4,056.62
  4. Step 4: Simplify right side
    6,076.67x = 34,019,504.95
  5. Step 5: Solve for x
    x = 34,019,504.95/6,076.67
  6. Step 6: Final answer
    x = 5,598.38

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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.