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Finding the Fourth Proportional to 6,102.57, 8,421.47 and 3,584.25

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Solution

The fourth proportional to 6,102.57, 8,421.47 and 3,584.25 is: 4,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.57 : 8,421.47 = 3,584.25 : x
  2. Step 2: Convert to fraction form
    6,102.57/8,421.47 = 3,584.25/x
  3. Step 3: Cross multiply
    6,102.57x = 8,421.47 × 3,584.25
  4. Step 4: Simplify right side
    6,102.57x = 30,184,653.85
  5. Step 5: Solve for x
    x = 30,184,653.85/6,102.57
  6. Step 6: Final answer
    x = 4,946.22

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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.