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Finding the Fourth Proportional to 4,580.38, 6,851.76 and 3,657.75

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Solution

The fourth proportional to 4,580.38, 6,851.76 and 3,657.75 is: 5,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.38 : 6,851.76 = 3,657.75 : x
  2. Step 2: Convert to fraction form
    4,580.38/6,851.76 = 3,657.75/x
  3. Step 3: Cross multiply
    4,580.38x = 6,851.76 × 3,657.75
  4. Step 4: Simplify right side
    4,580.38x = 25,062,025.14
  5. Step 5: Solve for x
    x = 25,062,025.14/4,580.38
  6. Step 6: Final answer
    x = 5,471.60

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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.