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Finding the Fourth Proportional to 3,358.10, 5,037.60 and 1,409.84

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Solution

The fourth proportional to 3,358.10, 5,037.60 and 1,409.84 is: 2,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.10 : 5,037.60 = 1,409.84 : x
  2. Step 2: Convert to fraction form
    3,358.10/5,037.60 = 1,409.84/x
  3. Step 3: Cross multiply
    3,358.10x = 5,037.60 × 1,409.84
  4. Step 4: Simplify right side
    3,358.10x = 7,102,209.98
  5. Step 5: Solve for x
    x = 7,102,209.98/3,358.10
  6. Step 6: Final answer
    x = 2,114.95

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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.