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Finding the Fourth Proportional to 3,435.35, 4,738.60 and 2,256.49

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Solution

The fourth proportional to 3,435.35, 4,738.60 and 2,256.49 is: 3,112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.35 : 4,738.60 = 2,256.49 : x
  2. Step 2: Convert to fraction form
    3,435.35/4,738.60 = 2,256.49/x
  3. Step 3: Cross multiply
    3,435.35x = 4,738.60 × 2,256.49
  4. Step 4: Simplify right side
    3,435.35x = 10,692,612.26
  5. Step 5: Solve for x
    x = 10,692,612.26/3,435.35
  6. Step 6: Final answer
    x = 3,112.53

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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.