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Finding the Fourth Proportional to 5,620.53, 8,428.16 and 1,670.33

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Solution

The fourth proportional to 5,620.53, 8,428.16 and 1,670.33 is: 2,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.53 : 8,428.16 = 1,670.33 : x
  2. Step 2: Convert to fraction form
    5,620.53/8,428.16 = 1,670.33/x
  3. Step 3: Cross multiply
    5,620.53x = 8,428.16 × 1,670.33
  4. Step 4: Simplify right side
    5,620.53x = 14,077,808.49
  5. Step 5: Solve for x
    x = 14,077,808.49/5,620.53
  6. Step 6: Final answer
    x = 2,504.71

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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.