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Finding the Fourth Proportional to 3,814.84, 5,712.54 and 2,512.36

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Solution

The fourth proportional to 3,814.84, 5,712.54 and 2,512.36 is: 3,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.84 : 5,712.54 = 2,512.36 : x
  2. Step 2: Convert to fraction form
    3,814.84/5,712.54 = 2,512.36/x
  3. Step 3: Cross multiply
    3,814.84x = 5,712.54 × 2,512.36
  4. Step 4: Simplify right side
    3,814.84x = 14,351,956.99
  5. Step 5: Solve for x
    x = 14,351,956.99/3,814.84
  6. Step 6: Final answer
    x = 3,762.14

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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.