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Finding the Fourth Proportional to 4,165.34, 5,737.39 and 2,904.14

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Solution

The fourth proportional to 4,165.34, 5,737.39 and 2,904.14 is: 4,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.34 : 5,737.39 = 2,904.14 : x
  2. Step 2: Convert to fraction form
    4,165.34/5,737.39 = 2,904.14/x
  3. Step 3: Cross multiply
    4,165.34x = 5,737.39 × 2,904.14
  4. Step 4: Simplify right side
    4,165.34x = 16,662,183.79
  5. Step 5: Solve for x
    x = 16,662,183.79/4,165.34
  6. Step 6: Final answer
    x = 4,000.20

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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.