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Finding the Fourth Proportional to 5,524.88, 7,624.10 and 3,007.00

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Solution

The fourth proportional to 5,524.88, 7,624.10 and 3,007.00 is: 4,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.88 : 7,624.10 = 3,007.00 : x
  2. Step 2: Convert to fraction form
    5,524.88/7,624.10 = 3,007.00/x
  3. Step 3: Cross multiply
    5,524.88x = 7,624.10 × 3,007.00
  4. Step 4: Simplify right side
    5,524.88x = 22,925,657.16
  5. Step 5: Solve for x
    x = 22,925,657.16/5,524.88
  6. Step 6: Final answer
    x = 4,149.53

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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.