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Finding the Fourth Proportional to 3,583.96, 4,946.60 and 2,256.78

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Solution

The fourth proportional to 3,583.96, 4,946.60 and 2,256.78 is: 3,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.96 : 4,946.60 = 2,256.78 : x
  2. Step 2: Convert to fraction form
    3,583.96/4,946.60 = 2,256.78/x
  3. Step 3: Cross multiply
    3,583.96x = 4,946.60 × 2,256.78
  4. Step 4: Simplify right side
    3,583.96x = 11,163,387.95
  5. Step 5: Solve for x
    x = 11,163,387.95/3,583.96
  6. Step 6: Final answer
    x = 3,114.82

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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.