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Finding the Fourth Proportional to 5,722.56, 7,895.04 and 4,679.04

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Solution

The fourth proportional to 5,722.56, 7,895.04 and 4,679.04 is: 6,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.56 : 7,895.04 = 4,679.04 : x
  2. Step 2: Convert to fraction form
    5,722.56/7,895.04 = 4,679.04/x
  3. Step 3: Cross multiply
    5,722.56x = 7,895.04 × 4,679.04
  4. Step 4: Simplify right side
    5,722.56x = 36,941,207.96
  5. Step 5: Solve for x
    x = 36,941,207.96/5,722.56
  6. Step 6: Final answer
    x = 6,455.36

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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.