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Finding the Fourth Proportional to 5,492.69, 7,579.60 and 3,254.78

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Solution

The fourth proportional to 5,492.69, 7,579.60 and 3,254.78 is: 4,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.69 : 7,579.60 = 3,254.78 : x
  2. Step 2: Convert to fraction form
    5,492.69/7,579.60 = 3,254.78/x
  3. Step 3: Cross multiply
    5,492.69x = 7,579.60 × 3,254.78
  4. Step 4: Simplify right side
    5,492.69x = 24,669,930.49
  5. Step 5: Solve for x
    x = 24,669,930.49/5,492.69
  6. Step 6: Final answer
    x = 4,491.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.