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Finding the Fourth Proportional to 3,185.46, 4,394.72 and 2,348.16

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Solution

The fourth proportional to 3,185.46, 4,394.72 and 2,348.16 is: 3,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.46 : 4,394.72 = 2,348.16 : x
  2. Step 2: Convert to fraction form
    3,185.46/4,394.72 = 2,348.16/x
  3. Step 3: Cross multiply
    3,185.46x = 4,394.72 × 2,348.16
  4. Step 4: Simplify right side
    3,185.46x = 10,319,495.11
  5. Step 5: Solve for x
    x = 10,319,495.11/3,185.46
  6. Step 6: Final answer
    x = 3,239.56

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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.