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Finding the Fourth Proportional to 3,358.49, 5,032.61 and 1,409.63

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Solution

The fourth proportional to 3,358.49, 5,032.61 and 1,409.63 is: 2,112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.49 : 5,032.61 = 1,409.63 : x
  2. Step 2: Convert to fraction form
    3,358.49/5,032.61 = 1,409.63/x
  3. Step 3: Cross multiply
    3,358.49x = 5,032.61 × 1,409.63
  4. Step 4: Simplify right side
    3,358.49x = 7,094,110.99
  5. Step 5: Solve for x
    x = 7,094,110.99/3,358.49
  6. Step 6: Final answer
    x = 2,112.29

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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.