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Finding the Fourth Proportional to 5,260.41, 7,890.62 and 1,364.82

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Solution

The fourth proportional to 5,260.41, 7,890.62 and 1,364.82 is: 2,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.41 : 7,890.62 = 1,364.82 : x
  2. Step 2: Convert to fraction form
    5,260.41/7,890.62 = 1,364.82/x
  3. Step 3: Cross multiply
    5,260.41x = 7,890.62 × 1,364.82
  4. Step 4: Simplify right side
    5,260.41x = 10,769,269.16
  5. Step 5: Solve for x
    x = 10,769,269.16/5,260.41
  6. Step 6: Final answer
    x = 2,047.23

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Why These Related Problems?

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