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Finding the Fourth Proportional to 5,229.63, 7,845.53 and 1,531.98

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Solution

The fourth proportional to 5,229.63, 7,845.53 and 1,531.98 is: 2,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.63 : 7,845.53 = 1,531.98 : x
  2. Step 2: Convert to fraction form
    5,229.63/7,845.53 = 1,531.98/x
  3. Step 3: Cross multiply
    5,229.63x = 7,845.53 × 1,531.98
  4. Step 4: Simplify right side
    5,229.63x = 12,019,187.39
  5. Step 5: Solve for x
    x = 12,019,187.39/5,229.63
  6. Step 6: Final answer
    x = 2,298.29

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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.