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Finding the Fourth Proportional to 5,756.82, 8,633.11 and 4,526.64

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Solution

The fourth proportional to 5,756.82, 8,633.11 and 4,526.64 is: 6,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.82 : 8,633.11 = 4,526.64 : x
  2. Step 2: Convert to fraction form
    5,756.82/8,633.11 = 4,526.64/x
  3. Step 3: Cross multiply
    5,756.82x = 8,633.11 × 4,526.64
  4. Step 4: Simplify right side
    5,756.82x = 39,078,981.05
  5. Step 5: Solve for x
    x = 39,078,981.05/5,756.82
  6. Step 6: Final answer
    x = 6,788.29

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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.