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Finding the Fourth Proportional to 3,416.95, 5,125.43 and 1,224.49

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Solution

The fourth proportional to 3,416.95, 5,125.43 and 1,224.49 is: 1,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.95 : 5,125.43 = 1,224.49 : x
  2. Step 2: Convert to fraction form
    3,416.95/5,125.43 = 1,224.49/x
  3. Step 3: Cross multiply
    3,416.95x = 5,125.43 × 1,224.49
  4. Step 4: Simplify right side
    3,416.95x = 6,276,037.78
  5. Step 5: Solve for x
    x = 6,276,037.78/3,416.95
  6. Step 6: Final answer
    x = 1,836.74

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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.