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Finding the Fourth Proportional to 5,732.76, 7,907.96 and 3,342.44

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Solution

The fourth proportional to 5,732.76, 7,907.96 and 3,342.44 is: 4,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.76 : 7,907.96 = 3,342.44 : x
  2. Step 2: Convert to fraction form
    5,732.76/7,907.96 = 3,342.44/x
  3. Step 3: Cross multiply
    5,732.76x = 7,907.96 × 3,342.44
  4. Step 4: Simplify right side
    5,732.76x = 26,431,881.82
  5. Step 5: Solve for x
    x = 26,431,881.82/5,732.76
  6. Step 6: Final answer
    x = 4,610.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.