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Finding the Fourth Proportional to 3,712.84, 5,124.44 and 2,453.96

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Solution

The fourth proportional to 3,712.84, 5,124.44 and 2,453.96 is: 3,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.84 : 5,124.44 = 2,453.96 : x
  2. Step 2: Convert to fraction form
    3,712.84/5,124.44 = 2,453.96/x
  3. Step 3: Cross multiply
    3,712.84x = 5,124.44 × 2,453.96
  4. Step 4: Simplify right side
    3,712.84x = 12,575,170.78
  5. Step 5: Solve for x
    x = 12,575,170.78/3,712.84
  6. Step 6: Final answer
    x = 3,386.94

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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.