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Finding the Fourth Proportional to 3,549.96, 4,899.38 and 2,057.84

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Solution

The fourth proportional to 3,549.96, 4,899.38 and 2,057.84 is: 2,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.96 : 4,899.38 = 2,057.84 : x
  2. Step 2: Convert to fraction form
    3,549.96/4,899.38 = 2,057.84/x
  3. Step 3: Cross multiply
    3,549.96x = 4,899.38 × 2,057.84
  4. Step 4: Simplify right side
    3,549.96x = 10,082,140.14
  5. Step 5: Solve for x
    x = 10,082,140.14/3,549.96
  6. Step 6: Final answer
    x = 2,840.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.