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Finding the Fourth Proportional to 6,102.54, 8,421.59 and 3,584.70

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Solution

The fourth proportional to 6,102.54, 8,421.59 and 3,584.70 is: 4,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.54 : 8,421.59 = 3,584.70 : x
  2. Step 2: Convert to fraction form
    6,102.54/8,421.59 = 3,584.70/x
  3. Step 3: Cross multiply
    6,102.54x = 8,421.59 × 3,584.70
  4. Step 4: Simplify right side
    6,102.54x = 30,188,855.75
  5. Step 5: Solve for x
    x = 30,188,855.75/6,102.54
  6. Step 6: Final answer
    x = 4,946.93

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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.