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Finding the Fourth Proportional to 6,083, 8,394.56 and 3,288.52

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Solution

The fourth proportional to 6,083, 8,394.56 and 3,288.52 is: 4,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083 : 8,394.56 = 3,288.52 : x
  2. Step 2: Convert to fraction form
    6,083/8,394.56 = 3,288.52/x
  3. Step 3: Cross multiply
    6,083x = 8,394.56 × 3,288.52
  4. Step 4: Simplify right side
    6,083x = 27,605,678.45
  5. Step 5: Solve for x
    x = 27,605,678.45/6,083
  6. Step 6: Final answer
    x = 4,538.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.