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Finding the Fourth Proportional to 6,083.12, 8,394.96 and 3,430.48

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Solution

The fourth proportional to 6,083.12, 8,394.96 and 3,430.48 is: 4,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.12 : 8,394.96 = 3,430.48 : x
  2. Step 2: Convert to fraction form
    6,083.12/8,394.96 = 3,430.48/x
  3. Step 3: Cross multiply
    6,083.12x = 8,394.96 × 3,430.48
  4. Step 4: Simplify right side
    6,083.12x = 28,798,742.38
  5. Step 5: Solve for x
    x = 28,798,742.38/6,083.12
  6. Step 6: Final answer
    x = 4,734.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.