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Finding the Fourth Proportional to 4,070.54, 6,082 and 3,011.84

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Solution

The fourth proportional to 4,070.54, 6,082 and 3,011.84 is: 4,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.54 : 6,082 = 3,011.84 : x
  2. Step 2: Convert to fraction form
    4,070.54/6,082 = 3,011.84/x
  3. Step 3: Cross multiply
    4,070.54x = 6,082 × 3,011.84
  4. Step 4: Simplify right side
    4,070.54x = 18,318,010.88
  5. Step 5: Solve for x
    x = 18,318,010.88/4,070.54
  6. Step 6: Final answer
    x = 4,500.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.