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Finding the Fourth Proportional to 5,729.48, 8,596.76 and 3,648.95

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Solution

The fourth proportional to 5,729.48, 8,596.76 and 3,648.95 is: 5,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.48 : 8,596.76 = 3,648.95 : x
  2. Step 2: Convert to fraction form
    5,729.48/8,596.76 = 3,648.95/x
  3. Step 3: Cross multiply
    5,729.48x = 8,596.76 × 3,648.95
  4. Step 4: Simplify right side
    5,729.48x = 31,369,113.54
  5. Step 5: Solve for x
    x = 31,369,113.54/5,729.48
  6. Step 6: Final answer
    x = 5,475.04

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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.