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Finding the Fourth Proportional to 5,259.96, 7,889.76 and 1,364.58

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Solution

The fourth proportional to 5,259.96, 7,889.76 and 1,364.58 is: 2,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.96 : 7,889.76 = 1,364.58 : x
  2. Step 2: Convert to fraction form
    5,259.96/7,889.76 = 1,364.58/x
  3. Step 3: Cross multiply
    5,259.96x = 7,889.76 × 1,364.58
  4. Step 4: Simplify right side
    5,259.96x = 10,766,208.70
  5. Step 5: Solve for x
    x = 10,766,208.70/5,259.96
  6. Step 6: Final answer
    x = 2,046.82

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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.