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Finding the Fourth Proportional to 3,848.00, 5,310.14 and 2,254.44

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Solution

The fourth proportional to 3,848.00, 5,310.14 and 2,254.44 is: 3,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.00 : 5,310.14 = 2,254.44 : x
  2. Step 2: Convert to fraction form
    3,848.00/5,310.14 = 2,254.44/x
  3. Step 3: Cross multiply
    3,848.00x = 5,310.14 × 2,254.44
  4. Step 4: Simplify right side
    3,848.00x = 11,971,397.66
  5. Step 5: Solve for x
    x = 11,971,397.66/3,848.00
  6. Step 6: Final answer
    x = 3,111.07

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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.