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Finding the Fourth Proportional to 6,083.04, 8,394.64 and 3,430.50

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Solution

The fourth proportional to 6,083.04, 8,394.64 and 3,430.50 is: 4,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.04 : 8,394.64 = 3,430.50 : x
  2. Step 2: Convert to fraction form
    6,083.04/8,394.64 = 3,430.50/x
  3. Step 3: Cross multiply
    6,083.04x = 8,394.64 × 3,430.50
  4. Step 4: Simplify right side
    6,083.04x = 28,797,812.52
  5. Step 5: Solve for x
    x = 28,797,812.52/6,083.04
  6. Step 6: Final answer
    x = 4,734.12

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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.