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Finding the Fourth Proportional to 3,762.04, 5,191.54 and 2,106.04

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Solution

The fourth proportional to 3,762.04, 5,191.54 and 2,106.04 is: 2,906.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.04 : 5,191.54 = 2,106.04 : x
  2. Step 2: Convert to fraction form
    3,762.04/5,191.54 = 2,106.04/x
  3. Step 3: Cross multiply
    3,762.04x = 5,191.54 × 2,106.04
  4. Step 4: Simplify right side
    3,762.04x = 10,933,590.90
  5. Step 5: Solve for x
    x = 10,933,590.90/3,762.04
  6. Step 6: Final answer
    x = 2,906.29

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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.