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Finding the Fourth Proportional to 5,027.64, 7,528.50 and 4,379.64

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Solution

The fourth proportional to 5,027.64, 7,528.50 and 4,379.64 is: 6,558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.64 : 7,528.50 = 4,379.64 : x
  2. Step 2: Convert to fraction form
    5,027.64/7,528.50 = 4,379.64/x
  3. Step 3: Cross multiply
    5,027.64x = 7,528.50 × 4,379.64
  4. Step 4: Simplify right side
    5,027.64x = 32,972,119.74
  5. Step 5: Solve for x
    x = 32,972,119.74/5,027.64
  6. Step 6: Final answer
    x = 6,558.17

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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.