Home / 3,052.12-4,576.10-971.50

Finding the Fourth Proportional to 3,052.12, 4,576.10 and 971.50

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Solution

The fourth proportional to 3,052.12, 4,576.10 and 971.50 is: 1,456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.12 : 4,576.10 = 971.50 : x
  2. Step 2: Convert to fraction form
    3,052.12/4,576.10 = 971.50/x
  3. Step 3: Cross multiply
    3,052.12x = 4,576.10 × 971.50
  4. Step 4: Simplify right side
    3,052.12x = 4,445,681.15
  5. Step 5: Solve for x
    x = 4,445,681.15/3,052.12
  6. Step 6: Final answer
    x = 1,456.59

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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.