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Finding the Fourth Proportional to 5,925.50, 8,177.20 and 3,441.50

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Solution

The fourth proportional to 5,925.50, 8,177.20 and 3,441.50 is: 4,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.50 : 8,177.20 = 3,441.50 : x
  2. Step 2: Convert to fraction form
    5,925.50/8,177.20 = 3,441.50/x
  3. Step 3: Cross multiply
    5,925.50x = 8,177.20 × 3,441.50
  4. Step 4: Simplify right side
    5,925.50x = 28,141,833.80
  5. Step 5: Solve for x
    x = 28,141,833.80/5,925.50
  6. Step 6: Final answer
    x = 4,749.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.