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Finding the Fourth Proportional to 3,409.48, 5,117.46 and 1,767.20

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Solution

The fourth proportional to 3,409.48, 5,117.46 and 1,767.20 is: 2,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.48 : 5,117.46 = 1,767.20 : x
  2. Step 2: Convert to fraction form
    3,409.48/5,117.46 = 1,767.20/x
  3. Step 3: Cross multiply
    3,409.48x = 5,117.46 × 1,767.20
  4. Step 4: Simplify right side
    3,409.48x = 9,043,566.48
  5. Step 5: Solve for x
    x = 9,043,566.48/3,409.48
  6. Step 6: Final answer
    x = 2,652.48

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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.