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Finding the Fourth Proportional to 4,762.04, 7,144.34 and 2,093.14

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Solution

The fourth proportional to 4,762.04, 7,144.34 and 2,093.14 is: 3,140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.04 : 7,144.34 = 2,093.14 : x
  2. Step 2: Convert to fraction form
    4,762.04/7,144.34 = 2,093.14/x
  3. Step 3: Cross multiply
    4,762.04x = 7,144.34 × 2,093.14
  4. Step 4: Simplify right side
    4,762.04x = 14,954,103.83
  5. Step 5: Solve for x
    x = 14,954,103.83/4,762.04
  6. Step 6: Final answer
    x = 3,140.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.