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Finding the Fourth Proportional to 5,730.58, 8,597.21 and 1,781.63

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Solution

The fourth proportional to 5,730.58, 8,597.21 and 1,781.63 is: 2,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.58 : 8,597.21 = 1,781.63 : x
  2. Step 2: Convert to fraction form
    5,730.58/8,597.21 = 1,781.63/x
  3. Step 3: Cross multiply
    5,730.58x = 8,597.21 × 1,781.63
  4. Step 4: Simplify right side
    5,730.58x = 15,317,047.25
  5. Step 5: Solve for x
    x = 15,317,047.25/5,730.58
  6. Step 6: Final answer
    x = 2,672.86

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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.