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Finding the Fourth Proportional to 5,773.74, 7,967.34 and 3,255.72

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Solution

The fourth proportional to 5,773.74, 7,967.34 and 3,255.72 is: 4,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.74 : 7,967.34 = 3,255.72 : x
  2. Step 2: Convert to fraction form
    5,773.74/7,967.34 = 3,255.72/x
  3. Step 3: Cross multiply
    5,773.74x = 7,967.34 × 3,255.72
  4. Step 4: Simplify right side
    5,773.74x = 25,939,428.18
  5. Step 5: Solve for x
    x = 25,939,428.18/5,773.74
  6. Step 6: Final answer
    x = 4,492.66

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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.