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Finding the Fourth Proportional to 5,252.19, 7,871.27 and 2,784.39

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Solution

The fourth proportional to 5,252.19, 7,871.27 and 2,784.39 is: 4,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.19 : 7,871.27 = 2,784.39 : x
  2. Step 2: Convert to fraction form
    5,252.19/7,871.27 = 2,784.39/x
  3. Step 3: Cross multiply
    5,252.19x = 7,871.27 × 2,784.39
  4. Step 4: Simplify right side
    5,252.19x = 21,916,671.55
  5. Step 5: Solve for x
    x = 21,916,671.55/5,252.19
  6. Step 6: Final answer
    x = 4,172.86

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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.