Home / 3,051.90-4,576.13-971.52

Finding the Fourth Proportional to 3,051.90, 4,576.13 and 971.52

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Solution

The fourth proportional to 3,051.90, 4,576.13 and 971.52 is: 1,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.90 : 4,576.13 = 971.52 : x
  2. Step 2: Convert to fraction form
    3,051.90/4,576.13 = 971.52/x
  3. Step 3: Cross multiply
    3,051.90x = 4,576.13 × 971.52
  4. Step 4: Simplify right side
    3,051.90x = 4,445,801.82
  5. Step 5: Solve for x
    x = 4,445,801.82/3,051.90
  6. Step 6: Final answer
    x = 1,456.73

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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.