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Finding the Fourth Proportional to 5,768.64, 8,652.08 and 1,608.22

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Solution

The fourth proportional to 5,768.64, 8,652.08 and 1,608.22 is: 2,412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.64 : 8,652.08 = 1,608.22 : x
  2. Step 2: Convert to fraction form
    5,768.64/8,652.08 = 1,608.22/x
  3. Step 3: Cross multiply
    5,768.64x = 8,652.08 × 1,608.22
  4. Step 4: Simplify right side
    5,768.64x = 13,914,448.10
  5. Step 5: Solve for x
    x = 13,914,448.10/5,768.64
  6. Step 6: Final answer
    x = 2,412.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.