Home / 3,052.14-4,576.86-971.46

Finding the Fourth Proportional to 3,052.14, 4,576.86 and 971.46

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Solution

The fourth proportional to 3,052.14, 4,576.86 and 971.46 is: 1,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.14 : 4,576.86 = 971.46 : x
  2. Step 2: Convert to fraction form
    3,052.14/4,576.86 = 971.46/x
  3. Step 3: Cross multiply
    3,052.14x = 4,576.86 × 971.46
  4. Step 4: Simplify right side
    3,052.14x = 4,446,236.42
  5. Step 5: Solve for x
    x = 4,446,236.42/3,052.14
  6. Step 6: Final answer
    x = 1,456.76

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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.