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Finding the Fourth Proportional to 5,773.48, 8,661.58 and 4,142.34

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Solution

The fourth proportional to 5,773.48, 8,661.58 and 4,142.34 is: 6,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.48 : 8,661.58 = 4,142.34 : x
  2. Step 2: Convert to fraction form
    5,773.48/8,661.58 = 4,142.34/x
  3. Step 3: Cross multiply
    5,773.48x = 8,661.58 × 4,142.34
  4. Step 4: Simplify right side
    5,773.48x = 35,879,222.24
  5. Step 5: Solve for x
    x = 35,879,222.24/5,773.48
  6. Step 6: Final answer
    x = 6,214.49

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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.