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Finding the Fourth Proportional to 3,156.16, 4,712.72 and 2,824.96

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Solution

The fourth proportional to 3,156.16, 4,712.72 and 2,824.96 is: 4,218.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.16 : 4,712.72 = 2,824.96 : x
  2. Step 2: Convert to fraction form
    3,156.16/4,712.72 = 2,824.96/x
  3. Step 3: Cross multiply
    3,156.16x = 4,712.72 × 2,824.96
  4. Step 4: Simplify right side
    3,156.16x = 13,313,245.49
  5. Step 5: Solve for x
    x = 13,313,245.49/3,156.16
  6. Step 6: Final answer
    x = 4,218.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.