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Finding the Fourth Proportional to 5,756.79, 8,624.05 and 4,821.24

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Solution

The fourth proportional to 5,756.79, 8,624.05 and 4,821.24 is: 7,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.79 : 8,624.05 = 4,821.24 : x
  2. Step 2: Convert to fraction form
    5,756.79/8,624.05 = 4,821.24/x
  3. Step 3: Cross multiply
    5,756.79x = 8,624.05 × 4,821.24
  4. Step 4: Simplify right side
    5,756.79x = 41,578,614.82
  5. Step 5: Solve for x
    x = 41,578,614.82/5,756.79
  6. Step 6: Final answer
    x = 7,222.53

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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.