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Finding the Fourth Proportional to 5,732.66, 7,912.34 and 3,494.63

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Solution

The fourth proportional to 5,732.66, 7,912.34 and 3,494.63 is: 4,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.66 : 7,912.34 = 3,494.63 : x
  2. Step 2: Convert to fraction form
    5,732.66/7,912.34 = 3,494.63/x
  3. Step 3: Cross multiply
    5,732.66x = 7,912.34 × 3,494.63
  4. Step 4: Simplify right side
    5,732.66x = 27,650,643.70
  5. Step 5: Solve for x
    x = 27,650,643.70/5,732.66
  6. Step 6: Final answer
    x = 4,823.36

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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.