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Finding the Fourth Proportional to 3,846.48, 5,765.02 and 2,176.46

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Solution

The fourth proportional to 3,846.48, 5,765.02 and 2,176.46 is: 3,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.48 : 5,765.02 = 2,176.46 : x
  2. Step 2: Convert to fraction form
    3,846.48/5,765.02 = 2,176.46/x
  3. Step 3: Cross multiply
    3,846.48x = 5,765.02 × 2,176.46
  4. Step 4: Simplify right side
    3,846.48x = 12,547,335.43
  5. Step 5: Solve for x
    x = 12,547,335.43/3,846.48
  6. Step 6: Final answer
    x = 3,262.03

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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.