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Finding the Fourth Proportional to 6,082.86, 8,394.50 and 3,430.10

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Solution

The fourth proportional to 6,082.86, 8,394.50 and 3,430.10 is: 4,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.86 : 8,394.50 = 3,430.10 : x
  2. Step 2: Convert to fraction form
    6,082.86/8,394.50 = 3,430.10/x
  3. Step 3: Cross multiply
    6,082.86x = 8,394.50 × 3,430.10
  4. Step 4: Simplify right side
    6,082.86x = 28,793,974.45
  5. Step 5: Solve for x
    x = 28,793,974.45/6,082.86
  6. Step 6: Final answer
    x = 4,733.62

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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.