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Finding the Fourth Proportional to 4,561.78, 6,831.62 and 2,608.06

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Solution

The fourth proportional to 4,561.78, 6,831.62 and 2,608.06 is: 3,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.78 : 6,831.62 = 2,608.06 : x
  2. Step 2: Convert to fraction form
    4,561.78/6,831.62 = 2,608.06/x
  3. Step 3: Cross multiply
    4,561.78x = 6,831.62 × 2,608.06
  4. Step 4: Simplify right side
    4,561.78x = 17,817,274.86
  5. Step 5: Solve for x
    x = 17,817,274.86/4,561.78
  6. Step 6: Final answer
    x = 3,905.77

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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.