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Finding the Fourth Proportional to 5,604.64, 8,412.16 and 2,833.28

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Solution

The fourth proportional to 5,604.64, 8,412.16 and 2,833.28 is: 4,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.64 : 8,412.16 = 2,833.28 : x
  2. Step 2: Convert to fraction form
    5,604.64/8,412.16 = 2,833.28/x
  3. Step 3: Cross multiply
    5,604.64x = 8,412.16 × 2,833.28
  4. Step 4: Simplify right side
    5,604.64x = 23,834,004.68
  5. Step 5: Solve for x
    x = 23,834,004.68/5,604.64
  6. Step 6: Final answer
    x = 4,252.55

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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.