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Finding the Fourth Proportional to 5,260, 7,890.06 and 1,364.17

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Solution

The fourth proportional to 5,260, 7,890.06 and 1,364.17 is: 2,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260 : 7,890.06 = 1,364.17 : x
  2. Step 2: Convert to fraction form
    5,260/7,890.06 = 1,364.17/x
  3. Step 3: Cross multiply
    5,260x = 7,890.06 × 1,364.17
  4. Step 4: Simplify right side
    5,260x = 10,763,383.15
  5. Step 5: Solve for x
    x = 10,763,383.15/5,260
  6. Step 6: Final answer
    x = 2,046.27

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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.