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Finding the Fourth Proportional to 5,763.08, 7,952.04 and 3,405.96

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Solution

The fourth proportional to 5,763.08, 7,952.04 and 3,405.96 is: 4,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.08 : 7,952.04 = 3,405.96 : x
  2. Step 2: Convert to fraction form
    5,763.08/7,952.04 = 3,405.96/x
  3. Step 3: Cross multiply
    5,763.08x = 7,952.04 × 3,405.96
  4. Step 4: Simplify right side
    5,763.08x = 27,084,330.16
  5. Step 5: Solve for x
    x = 27,084,330.16/5,763.08
  6. Step 6: Final answer
    x = 4,699.63

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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.