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Finding the Fourth Proportional to 3,378.42, 4,662 and 1,886.27

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Solution

The fourth proportional to 3,378.42, 4,662 and 1,886.27 is: 2,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.42 : 4,662 = 1,886.27 : x
  2. Step 2: Convert to fraction form
    3,378.42/4,662 = 1,886.27/x
  3. Step 3: Cross multiply
    3,378.42x = 4,662 × 1,886.27
  4. Step 4: Simplify right side
    3,378.42x = 8,793,767.43
  5. Step 5: Solve for x
    x = 8,793,767.43/3,378.42
  6. Step 6: Final answer
    x = 2,602.92

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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.