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Finding the Fourth Proportional to 4,847.40, 7,274.71 and 1,886.31

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Solution

The fourth proportional to 4,847.40, 7,274.71 and 1,886.31 is: 2,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.40 : 7,274.71 = 1,886.31 : x
  2. Step 2: Convert to fraction form
    4,847.40/7,274.71 = 1,886.31/x
  3. Step 3: Cross multiply
    4,847.40x = 7,274.71 × 1,886.31
  4. Step 4: Simplify right side
    4,847.40x = 13,722,358.22
  5. Step 5: Solve for x
    x = 13,722,358.22/4,847.40
  6. Step 6: Final answer
    x = 2,830.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.