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Finding the Fourth Proportional to 5,492.74, 7,583.25 and 3,399.70

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Solution

The fourth proportional to 5,492.74, 7,583.25 and 3,399.70 is: 4,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.74 : 7,583.25 = 3,399.70 : x
  2. Step 2: Convert to fraction form
    5,492.74/7,583.25 = 3,399.70/x
  3. Step 3: Cross multiply
    5,492.74x = 7,583.25 × 3,399.70
  4. Step 4: Simplify right side
    5,492.74x = 25,780,775.03
  5. Step 5: Solve for x
    x = 25,780,775.03/5,492.74
  6. Step 6: Final answer
    x = 4,693.61

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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.