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Finding the Fourth Proportional to 5,244.06, 7,866.15 and 1,781.58

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Solution

The fourth proportional to 5,244.06, 7,866.15 and 1,781.58 is: 2,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.06 : 7,866.15 = 1,781.58 : x
  2. Step 2: Convert to fraction form
    5,244.06/7,866.15 = 1,781.58/x
  3. Step 3: Cross multiply
    5,244.06x = 7,866.15 × 1,781.58
  4. Step 4: Simplify right side
    5,244.06x = 14,014,175.52
  5. Step 5: Solve for x
    x = 14,014,175.52/5,244.06
  6. Step 6: Final answer
    x = 2,672.39

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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.