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Finding the Fourth Proportional to 6,082.76, 8,394.12 and 3,430.18

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Solution

The fourth proportional to 6,082.76, 8,394.12 and 3,430.18 is: 4,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.76 : 8,394.12 = 3,430.18 : x
  2. Step 2: Convert to fraction form
    6,082.76/8,394.12 = 3,430.18/x
  3. Step 3: Cross multiply
    6,082.76x = 8,394.12 × 3,430.18
  4. Step 4: Simplify right side
    6,082.76x = 28,793,342.54
  5. Step 5: Solve for x
    x = 28,793,342.54/6,082.76
  6. Step 6: Final answer
    x = 4,733.60

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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.