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Finding the Fourth Proportional to 3,580.48, 5,374.68 and 2,122.48

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Solution

The fourth proportional to 3,580.48, 5,374.68 and 2,122.48 is: 3,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.48 : 5,374.68 = 2,122.48 : x
  2. Step 2: Convert to fraction form
    3,580.48/5,374.68 = 2,122.48/x
  3. Step 3: Cross multiply
    3,580.48x = 5,374.68 × 2,122.48
  4. Step 4: Simplify right side
    3,580.48x = 11,407,650.81
  5. Step 5: Solve for x
    x = 11,407,650.81/3,580.48
  6. Step 6: Final answer
    x = 3,186.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.