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Finding the Fourth Proportional to 5,065.96, 7,601 and 2,290.68

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Solution

The fourth proportional to 5,065.96, 7,601 and 2,290.68 is: 3,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.96 : 7,601 = 2,290.68 : x
  2. Step 2: Convert to fraction form
    5,065.96/7,601 = 2,290.68/x
  3. Step 3: Cross multiply
    5,065.96x = 7,601 × 2,290.68
  4. Step 4: Simplify right side
    5,065.96x = 17,411,458.68
  5. Step 5: Solve for x
    x = 17,411,458.68/5,065.96
  6. Step 6: Final answer
    x = 3,436.95

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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.