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Finding the Fourth Proportional to 4,606.16, 6,906.36 and 2,555.60

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Solution

The fourth proportional to 4,606.16, 6,906.36 and 2,555.60 is: 3,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.16 : 6,906.36 = 2,555.60 : x
  2. Step 2: Convert to fraction form
    4,606.16/6,906.36 = 2,555.60/x
  3. Step 3: Cross multiply
    4,606.16x = 6,906.36 × 2,555.60
  4. Step 4: Simplify right side
    4,606.16x = 17,649,893.62
  5. Step 5: Solve for x
    x = 17,649,893.62/4,606.16
  6. Step 6: Final answer
    x = 3,831.80

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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.