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Finding the Fourth Proportional to 6,292.24, 8,683.08 and 3,497.68

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Solution

The fourth proportional to 6,292.24, 8,683.08 and 3,497.68 is: 4,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.24 : 8,683.08 = 3,497.68 : x
  2. Step 2: Convert to fraction form
    6,292.24/8,683.08 = 3,497.68/x
  3. Step 3: Cross multiply
    6,292.24x = 8,683.08 × 3,497.68
  4. Step 4: Simplify right side
    6,292.24x = 30,370,635.25
  5. Step 5: Solve for x
    x = 30,370,635.25/6,292.24
  6. Step 6: Final answer
    x = 4,826.68

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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.