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Finding the Fourth Proportional to 4,205.94, 5,803.80 and 2,437.65

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Solution

The fourth proportional to 4,205.94, 5,803.80 and 2,437.65 is: 3,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.94 : 5,803.80 = 2,437.65 : x
  2. Step 2: Convert to fraction form
    4,205.94/5,803.80 = 2,437.65/x
  3. Step 3: Cross multiply
    4,205.94x = 5,803.80 × 2,437.65
  4. Step 4: Simplify right side
    4,205.94x = 14,147,633.07
  5. Step 5: Solve for x
    x = 14,147,633.07/4,205.94
  6. Step 6: Final answer
    x = 3,363.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.