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Finding the Fourth Proportional to 6,186.21, 8,534.48 and 4,299.32

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Solution

The fourth proportional to 6,186.21, 8,534.48 and 4,299.32 is: 5,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.21 : 8,534.48 = 4,299.32 : x
  2. Step 2: Convert to fraction form
    6,186.21/8,534.48 = 4,299.32/x
  3. Step 3: Cross multiply
    6,186.21x = 8,534.48 × 4,299.32
  4. Step 4: Simplify right side
    6,186.21x = 36,692,396.38
  5. Step 5: Solve for x
    x = 36,692,396.38/6,186.21
  6. Step 6: Final answer
    x = 5,931.32

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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.