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Finding the Fourth Proportional to 6,416.34, 8,855.01 and 3,584.28

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Solution

The fourth proportional to 6,416.34, 8,855.01 and 3,584.28 is: 4,946.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.34 : 8,855.01 = 3,584.28 : x
  2. Step 2: Convert to fraction form
    6,416.34/8,855.01 = 3,584.28/x
  3. Step 3: Cross multiply
    6,416.34x = 8,855.01 × 3,584.28
  4. Step 4: Simplify right side
    6,416.34x = 31,738,835.24
  5. Step 5: Solve for x
    x = 31,738,835.24/6,416.34
  6. Step 6: Final answer
    x = 4,946.56

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