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Finding the Fourth Proportional to 3,798, 5,244.12 and 3,673.20

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Solution

The fourth proportional to 3,798, 5,244.12 and 3,673.20 is: 5,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798 : 5,244.12 = 3,673.20 : x
  2. Step 2: Convert to fraction form
    3,798/5,244.12 = 3,673.20/x
  3. Step 3: Cross multiply
    3,798x = 5,244.12 × 3,673.20
  4. Step 4: Simplify right side
    3,798x = 19,262,701.58
  5. Step 5: Solve for x
    x = 19,262,701.58/3,798
  6. Step 6: Final answer
    x = 5,071.80

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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.