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Finding the Fourth Proportional to 5,255.96, 7,845.48 and 4,633.20

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Solution

The fourth proportional to 5,255.96, 7,845.48 and 4,633.20 is: 6,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.96 : 7,845.48 = 4,633.20 : x
  2. Step 2: Convert to fraction form
    5,255.96/7,845.48 = 4,633.20/x
  3. Step 3: Cross multiply
    5,255.96x = 7,845.48 × 4,633.20
  4. Step 4: Simplify right side
    5,255.96x = 36,349,677.94
  5. Step 5: Solve for x
    x = 36,349,677.94/5,255.96
  6. Step 6: Final answer
    x = 6,915.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.