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Finding the Fourth Proportional to 6,083, 8,394.54 and 3,288.50

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Solution

The fourth proportional to 6,083, 8,394.54 and 3,288.50 is: 4,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083 : 8,394.54 = 3,288.50 : x
  2. Step 2: Convert to fraction form
    6,083/8,394.54 = 3,288.50/x
  3. Step 3: Cross multiply
    6,083x = 8,394.54 × 3,288.50
  4. Step 4: Simplify right side
    6,083x = 27,605,444.79
  5. Step 5: Solve for x
    x = 27,605,444.79/6,083
  6. Step 6: Final answer
    x = 4,538.13

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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.