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Finding the Fourth Proportional to 5,679.64, 7,837.59 and 3,289.19

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Solution

The fourth proportional to 5,679.64, 7,837.59 and 3,289.19 is: 4,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.64 : 7,837.59 = 3,289.19 : x
  2. Step 2: Convert to fraction form
    5,679.64/7,837.59 = 3,289.19/x
  3. Step 3: Cross multiply
    5,679.64x = 7,837.59 × 3,289.19
  4. Step 4: Simplify right side
    5,679.64x = 25,779,354.58
  5. Step 5: Solve for x
    x = 25,779,354.58/5,679.64
  6. Step 6: Final answer
    x = 4,538.91

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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.