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Finding the Fourth Proportional to 6,292, 8,682.96 and 3,498.04

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Solution

The fourth proportional to 6,292, 8,682.96 and 3,498.04 is: 4,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292 : 8,682.96 = 3,498.04 : x
  2. Step 2: Convert to fraction form
    6,292/8,682.96 = 3,498.04/x
  3. Step 3: Cross multiply
    6,292x = 8,682.96 × 3,498.04
  4. Step 4: Simplify right side
    6,292x = 30,373,341.40
  5. Step 5: Solve for x
    x = 30,373,341.40/6,292
  6. Step 6: Final answer
    x = 4,827.30

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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.