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Finding the Fourth Proportional to 3,807.39, 5,254.13 and 2,214.33

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Solution

The fourth proportional to 3,807.39, 5,254.13 and 2,214.33 is: 3,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.39 : 5,254.13 = 2,214.33 : x
  2. Step 2: Convert to fraction form
    3,807.39/5,254.13 = 2,214.33/x
  3. Step 3: Cross multiply
    3,807.39x = 5,254.13 × 2,214.33
  4. Step 4: Simplify right side
    3,807.39x = 11,634,377.68
  5. Step 5: Solve for x
    x = 11,634,377.68/3,807.39
  6. Step 6: Final answer
    x = 3,055.74

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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.