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Finding the Fourth Proportional to 3,376.16, 4,658.73 and 1,884.14

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Solution

The fourth proportional to 3,376.16, 4,658.73 and 1,884.14 is: 2,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.16 : 4,658.73 = 1,884.14 : x
  2. Step 2: Convert to fraction form
    3,376.16/4,658.73 = 1,884.14/x
  3. Step 3: Cross multiply
    3,376.16x = 4,658.73 × 1,884.14
  4. Step 4: Simplify right side
    3,376.16x = 8,777,676.25
  5. Step 5: Solve for x
    x = 8,777,676.25/3,376.16
  6. Step 6: Final answer
    x = 2,599.90

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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.