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Finding the Fourth Proportional to 5,620.46, 8,429.94 and 1,671.65

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Solution

The fourth proportional to 5,620.46, 8,429.94 and 1,671.65 is: 2,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.46 : 8,429.94 = 1,671.65 : x
  2. Step 2: Convert to fraction form
    5,620.46/8,429.94 = 1,671.65/x
  3. Step 3: Cross multiply
    5,620.46x = 8,429.94 × 1,671.65
  4. Step 4: Simplify right side
    5,620.46x = 14,091,867.05
  5. Step 5: Solve for x
    x = 14,091,867.05/5,620.46
  6. Step 6: Final answer
    x = 2,507.25

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