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Finding the Fourth Proportional to 3,946, 5,445.52 and 2,374.12

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Solution

The fourth proportional to 3,946, 5,445.52 and 2,374.12 is: 3,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946 : 5,445.52 = 2,374.12 : x
  2. Step 2: Convert to fraction form
    3,946/5,445.52 = 2,374.12/x
  3. Step 3: Cross multiply
    3,946x = 5,445.52 × 2,374.12
  4. Step 4: Simplify right side
    3,946x = 12,928,317.94
  5. Step 5: Solve for x
    x = 12,928,317.94/3,946
  6. Step 6: Final answer
    x = 3,276.31

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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.