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Finding the Fourth Proportional to 5,082.94, 7,623.66 and 1,795.60

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Solution

The fourth proportional to 5,082.94, 7,623.66 and 1,795.60 is: 2,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.94 : 7,623.66 = 1,795.60 : x
  2. Step 2: Convert to fraction form
    5,082.94/7,623.66 = 1,795.60/x
  3. Step 3: Cross multiply
    5,082.94x = 7,623.66 × 1,795.60
  4. Step 4: Simplify right side
    5,082.94x = 13,689,043.90
  5. Step 5: Solve for x
    x = 13,689,043.90/5,082.94
  6. Step 6: Final answer
    x = 2,693.14

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Why These Related Problems?

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