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Finding the Fourth Proportional to 4,927.67, 6,800.16 and 2,803.19

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Solution

The fourth proportional to 4,927.67, 6,800.16 and 2,803.19 is: 3,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.67 : 6,800.16 = 2,803.19 : x
  2. Step 2: Convert to fraction form
    4,927.67/6,800.16 = 2,803.19/x
  3. Step 3: Cross multiply
    4,927.67x = 6,800.16 × 2,803.19
  4. Step 4: Simplify right side
    4,927.67x = 19,062,157.12
  5. Step 5: Solve for x
    x = 19,062,157.12/4,927.67
  6. Step 6: Final answer
    x = 3,868.39

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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.