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Finding the Fourth Proportional to 3,405.70, 5,107.59 and 2,155.46

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Solution

The fourth proportional to 3,405.70, 5,107.59 and 2,155.46 is: 3,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.70 : 5,107.59 = 2,155.46 : x
  2. Step 2: Convert to fraction form
    3,405.70/5,107.59 = 2,155.46/x
  3. Step 3: Cross multiply
    3,405.70x = 5,107.59 × 2,155.46
  4. Step 4: Simplify right side
    3,405.70x = 11,009,218.71
  5. Step 5: Solve for x
    x = 11,009,218.71/3,405.70
  6. Step 6: Final answer
    x = 3,232.59

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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.