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Finding the Fourth Proportional to 5,525.16, 7,624.92 and 3,007.44

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Solution

The fourth proportional to 5,525.16, 7,624.92 and 3,007.44 is: 4,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,525.16 : 7,624.92 = 3,007.44 : x
  2. Step 2: Convert to fraction form
    5,525.16/7,624.92 = 3,007.44/x
  3. Step 3: Cross multiply
    5,525.16x = 7,624.92 × 3,007.44
  4. Step 4: Simplify right side
    5,525.16x = 22,931,489.40
  5. Step 5: Solve for x
    x = 22,931,489.40/5,525.16
  6. Step 6: Final answer
    x = 4,150.38

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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.