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Finding the Fourth Proportional to 3,182.64, 4,745.52 and 3,176.40

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Solution

The fourth proportional to 3,182.64, 4,745.52 and 3,176.40 is: 4,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.64 : 4,745.52 = 3,176.40 : x
  2. Step 2: Convert to fraction form
    3,182.64/4,745.52 = 3,176.40/x
  3. Step 3: Cross multiply
    3,182.64x = 4,745.52 × 3,176.40
  4. Step 4: Simplify right side
    3,182.64x = 15,073,669.73
  5. Step 5: Solve for x
    x = 15,073,669.73/3,182.64
  6. Step 6: Final answer
    x = 4,736.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.