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Finding the Fourth Proportional to 4,923.84, 7,388.16 and 2,004.16

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Solution

The fourth proportional to 4,923.84, 7,388.16 and 2,004.16 is: 3,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.84 : 7,388.16 = 2,004.16 : x
  2. Step 2: Convert to fraction form
    4,923.84/7,388.16 = 2,004.16/x
  3. Step 3: Cross multiply
    4,923.84x = 7,388.16 × 2,004.16
  4. Step 4: Simplify right side
    4,923.84x = 14,807,054.75
  5. Step 5: Solve for x
    x = 14,807,054.75/4,923.84
  6. Step 6: Final answer
    x = 3,007.22

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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.