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Finding the Fourth Proportional to 5,224.32, 7,835.72 and 1,525.57

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Solution

The fourth proportional to 5,224.32, 7,835.72 and 1,525.57 is: 2,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.32 : 7,835.72 = 1,525.57 : x
  2. Step 2: Convert to fraction form
    5,224.32/7,835.72 = 1,525.57/x
  3. Step 3: Cross multiply
    5,224.32x = 7,835.72 × 1,525.57
  4. Step 4: Simplify right side
    5,224.32x = 11,953,912.14
  5. Step 5: Solve for x
    x = 11,953,912.14/5,224.32
  6. Step 6: Final answer
    x = 2,288.13

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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.