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Finding the Fourth Proportional to 4,625.59, 6,381.80 and 2,831.20

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Solution

The fourth proportional to 4,625.59, 6,381.80 and 2,831.20 is: 3,906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.59 : 6,381.80 = 2,831.20 : x
  2. Step 2: Convert to fraction form
    4,625.59/6,381.80 = 2,831.20/x
  3. Step 3: Cross multiply
    4,625.59x = 6,381.80 × 2,831.20
  4. Step 4: Simplify right side
    4,625.59x = 18,068,152.16
  5. Step 5: Solve for x
    x = 18,068,152.16/4,625.59
  6. Step 6: Final answer
    x = 3,906.13

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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.