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Finding the Fourth Proportional to 3,409.47, 4,705.20 and 1,917.36

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Solution

The fourth proportional to 3,409.47, 4,705.20 and 1,917.36 is: 2,646.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.47 : 4,705.20 = 1,917.36 : x
  2. Step 2: Convert to fraction form
    3,409.47/4,705.20 = 1,917.36/x
  3. Step 3: Cross multiply
    3,409.47x = 4,705.20 × 1,917.36
  4. Step 4: Simplify right side
    3,409.47x = 9,021,562.27
  5. Step 5: Solve for x
    x = 9,021,562.27/3,409.47
  6. Step 6: Final answer
    x = 2,646.03

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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.