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Finding the Fourth Proportional to 5,184.16, 7,778.16 and 2,412.32

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Solution

The fourth proportional to 5,184.16, 7,778.16 and 2,412.32 is: 3,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.16 : 7,778.16 = 2,412.32 : x
  2. Step 2: Convert to fraction form
    5,184.16/7,778.16 = 2,412.32/x
  3. Step 3: Cross multiply
    5,184.16x = 7,778.16 × 2,412.32
  4. Step 4: Simplify right side
    5,184.16x = 18,763,410.93
  5. Step 5: Solve for x
    x = 18,763,410.93/5,184.16
  6. Step 6: Final answer
    x = 3,619.37

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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.