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Finding the Fourth Proportional to 6,083, 8,393.82 and 3,430.25

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Solution

The fourth proportional to 6,083, 8,393.82 and 3,430.25 is: 4,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083 : 8,393.82 = 3,430.25 : x
  2. Step 2: Convert to fraction form
    6,083/8,393.82 = 3,430.25/x
  3. Step 3: Cross multiply
    6,083x = 8,393.82 × 3,430.25
  4. Step 4: Simplify right side
    6,083x = 28,792,901.06
  5. Step 5: Solve for x
    x = 28,792,901.06/6,083
  6. Step 6: Final answer
    x = 4,733.34

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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.