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Finding the Fourth Proportional to 5,335.30, 7,991.78 and 4,289.64

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Solution

The fourth proportional to 5,335.30, 7,991.78 and 4,289.64 is: 6,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.30 : 7,991.78 = 4,289.64 : x
  2. Step 2: Convert to fraction form
    5,335.30/7,991.78 = 4,289.64/x
  3. Step 3: Cross multiply
    5,335.30x = 7,991.78 × 4,289.64
  4. Step 4: Simplify right side
    5,335.30x = 34,281,819.20
  5. Step 5: Solve for x
    x = 34,281,819.20/5,335.30
  6. Step 6: Final answer
    x = 6,425.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.