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Finding the Fourth Proportional to 3,874.76, 5,348.34 and 2,633.48

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Solution

The fourth proportional to 3,874.76, 5,348.34 and 2,633.48 is: 3,635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.76 : 5,348.34 = 2,633.48 : x
  2. Step 2: Convert to fraction form
    3,874.76/5,348.34 = 2,633.48/x
  3. Step 3: Cross multiply
    3,874.76x = 5,348.34 × 2,633.48
  4. Step 4: Simplify right side
    3,874.76x = 14,084,746.42
  5. Step 5: Solve for x
    x = 14,084,746.42/3,874.76
  6. Step 6: Final answer
    x = 3,635.00

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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.