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Finding the Fourth Proportional to 5,763.71, 7,954.00 and 3,405.85

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Solution

The fourth proportional to 5,763.71, 7,954.00 and 3,405.85 is: 4,700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.71 : 7,954.00 = 3,405.85 : x
  2. Step 2: Convert to fraction form
    5,763.71/7,954.00 = 3,405.85/x
  3. Step 3: Cross multiply
    5,763.71x = 7,954.00 × 3,405.85
  4. Step 4: Simplify right side
    5,763.71x = 27,090,102.50
  5. Step 5: Solve for x
    x = 27,090,102.50/5,763.71
  6. Step 6: Final answer
    x = 4,700.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.