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Finding the Fourth Proportional to 3,409.56, 4,705.02 and 1,917.45

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Solution

The fourth proportional to 3,409.56, 4,705.02 and 1,917.45 is: 2,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.56 : 4,705.02 = 1,917.45 : x
  2. Step 2: Convert to fraction form
    3,409.56/4,705.02 = 1,917.45/x
  3. Step 3: Cross multiply
    3,409.56x = 4,705.02 × 1,917.45
  4. Step 4: Simplify right side
    3,409.56x = 9,021,640.60
  5. Step 5: Solve for x
    x = 9,021,640.60/3,409.56
  6. Step 6: Final answer
    x = 2,645.98

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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.