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Finding the Fourth Proportional to 5,984.82, 8,260.04 and 4,565.83

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Solution

The fourth proportional to 5,984.82, 8,260.04 and 4,565.83 is: 6,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.82 : 8,260.04 = 4,565.83 : x
  2. Step 2: Convert to fraction form
    5,984.82/8,260.04 = 4,565.83/x
  3. Step 3: Cross multiply
    5,984.82x = 8,260.04 × 4,565.83
  4. Step 4: Simplify right side
    5,984.82x = 37,713,905.28
  5. Step 5: Solve for x
    x = 37,713,905.28/5,984.82
  6. Step 6: Final answer
    x = 6,301.59

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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.