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Finding the Fourth Proportional to 3,798.85, 5,242.41 and 2,120.16

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Solution

The fourth proportional to 3,798.85, 5,242.41 and 2,120.16 is: 2,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.85 : 5,242.41 = 2,120.16 : x
  2. Step 2: Convert to fraction form
    3,798.85/5,242.41 = 2,120.16/x
  3. Step 3: Cross multiply
    3,798.85x = 5,242.41 × 2,120.16
  4. Step 4: Simplify right side
    3,798.85x = 11,114,747.99
  5. Step 5: Solve for x
    x = 11,114,747.99/3,798.85
  6. Step 6: Final answer
    x = 2,925.82

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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.