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Finding the Fourth Proportional to 5,262.30, 7,256.79 and 4,082.94

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Solution

The fourth proportional to 5,262.30, 7,256.79 and 4,082.94 is: 5,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.30 : 7,256.79 = 4,082.94 : x
  2. Step 2: Convert to fraction form
    5,262.30/7,256.79 = 4,082.94/x
  3. Step 3: Cross multiply
    5,262.30x = 7,256.79 × 4,082.94
  4. Step 4: Simplify right side
    5,262.30x = 29,629,038.16
  5. Step 5: Solve for x
    x = 29,629,038.16/5,262.30
  6. Step 6: Final answer
    x = 5,630.44

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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.