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Finding the Fourth Proportional to 5,986.41, 8,261.57 and 3,597.11

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Solution

The fourth proportional to 5,986.41, 8,261.57 and 3,597.11 is: 4,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.41 : 8,261.57 = 3,597.11 : x
  2. Step 2: Convert to fraction form
    5,986.41/8,261.57 = 3,597.11/x
  3. Step 3: Cross multiply
    5,986.41x = 8,261.57 × 3,597.11
  4. Step 4: Simplify right side
    5,986.41x = 29,717,774.73
  5. Step 5: Solve for x
    x = 29,717,774.73/5,986.41
  6. Step 6: Final answer
    x = 4,964.21

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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.