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Finding the Fourth Proportional to 4,608.78, 6,315.84 and 4,165.94

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Solution

The fourth proportional to 4,608.78, 6,315.84 and 4,165.94 is: 5,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.78 : 6,315.84 = 4,165.94 : x
  2. Step 2: Convert to fraction form
    4,608.78/6,315.84 = 4,165.94/x
  3. Step 3: Cross multiply
    4,608.78x = 6,315.84 × 4,165.94
  4. Step 4: Simplify right side
    4,608.78x = 26,311,410.49
  5. Step 5: Solve for x
    x = 26,311,410.49/4,608.78
  6. Step 6: Final answer
    x = 5,708.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.