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Finding the Fourth Proportional to 5,763.36, 7,954.08 and 3,406.08

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Solution

The fourth proportional to 5,763.36, 7,954.08 and 3,406.08 is: 4,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.36 : 7,954.08 = 3,406.08 : x
  2. Step 2: Convert to fraction form
    5,763.36/7,954.08 = 3,406.08/x
  3. Step 3: Cross multiply
    5,763.36x = 7,954.08 × 3,406.08
  4. Step 4: Simplify right side
    5,763.36x = 27,092,232.81
  5. Step 5: Solve for x
    x = 27,092,232.81/5,763.36
  6. Step 6: Final answer
    x = 4,700.77

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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.