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Finding the Fourth Proportional to 6,292.54, 8,683.18 and 3,459.84

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Solution

The fourth proportional to 6,292.54, 8,683.18 and 3,459.84 is: 4,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.54 : 8,683.18 = 3,459.84 : x
  2. Step 2: Convert to fraction form
    6,292.54/8,683.18 = 3,459.84/x
  3. Step 3: Cross multiply
    6,292.54x = 8,683.18 × 3,459.84
  4. Step 4: Simplify right side
    6,292.54x = 30,042,370.08
  5. Step 5: Solve for x
    x = 30,042,370.08/6,292.54
  6. Step 6: Final answer
    x = 4,774.28

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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.