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Finding the Fourth Proportional to 5,769.64, 8,642.43 and 5,354.53

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Solution

The fourth proportional to 5,769.64, 8,642.43 and 5,354.53 is: 8,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.64 : 8,642.43 = 5,354.53 : x
  2. Step 2: Convert to fraction form
    5,769.64/8,642.43 = 5,354.53/x
  3. Step 3: Cross multiply
    5,769.64x = 8,642.43 × 5,354.53
  4. Step 4: Simplify right side
    5,769.64x = 46,276,150.71
  5. Step 5: Solve for x
    x = 46,276,150.71/5,769.64
  6. Step 6: Final answer
    x = 8,020.63

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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.