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Finding the Fourth Proportional to 4,831.60, 7,219.84 and 4,054

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Solution

The fourth proportional to 4,831.60, 7,219.84 and 4,054 is: 6,057.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.60 : 7,219.84 = 4,054 : x
  2. Step 2: Convert to fraction form
    4,831.60/7,219.84 = 4,054/x
  3. Step 3: Cross multiply
    4,831.60x = 7,219.84 × 4,054
  4. Step 4: Simplify right side
    4,831.60x = 29,269,231.36
  5. Step 5: Solve for x
    x = 29,269,231.36/4,831.60
  6. Step 6: Final answer
    x = 6,057.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.