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Finding the Fourth Proportional to 4,892.70, 7,338.51 and 2,295.30

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Solution

The fourth proportional to 4,892.70, 7,338.51 and 2,295.30 is: 3,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.70 : 7,338.51 = 2,295.30 : x
  2. Step 2: Convert to fraction form
    4,892.70/7,338.51 = 2,295.30/x
  3. Step 3: Cross multiply
    4,892.70x = 7,338.51 × 2,295.30
  4. Step 4: Simplify right side
    4,892.70x = 16,844,082.00
  5. Step 5: Solve for x
    x = 16,844,082.00/4,892.70
  6. Step 6: Final answer
    x = 3,442.70

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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.