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Finding the Fourth Proportional to 4,568.76, 6,849.02 and 2,102.31

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Solution

The fourth proportional to 4,568.76, 6,849.02 and 2,102.31 is: 3,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.76 : 6,849.02 = 2,102.31 : x
  2. Step 2: Convert to fraction form
    4,568.76/6,849.02 = 2,102.31/x
  3. Step 3: Cross multiply
    4,568.76x = 6,849.02 × 2,102.31
  4. Step 4: Simplify right side
    4,568.76x = 14,398,768.49
  5. Step 5: Solve for x
    x = 14,398,768.49/4,568.76
  6. Step 6: Final answer
    x = 3,151.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.