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Finding the Fourth Proportional to 4,205.77, 5,803.89 and 2,437.54

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Solution

The fourth proportional to 4,205.77, 5,803.89 and 2,437.54 is: 3,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.77 : 5,803.89 = 2,437.54 : x
  2. Step 2: Convert to fraction form
    4,205.77/5,803.89 = 2,437.54/x
  3. Step 3: Cross multiply
    4,205.77x = 5,803.89 × 2,437.54
  4. Step 4: Simplify right side
    4,205.77x = 14,147,190.38
  5. Step 5: Solve for x
    x = 14,147,190.38/4,205.77
  6. Step 6: Final answer
    x = 3,363.76

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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.