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Finding the Fourth Proportional to 4,296.60, 6,446.14 and 2,106.60

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Solution

The fourth proportional to 4,296.60, 6,446.14 and 2,106.60 is: 3,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.60 : 6,446.14 = 2,106.60 : x
  2. Step 2: Convert to fraction form
    4,296.60/6,446.14 = 2,106.60/x
  3. Step 3: Cross multiply
    4,296.60x = 6,446.14 × 2,106.60
  4. Step 4: Simplify right side
    4,296.60x = 13,579,438.52
  5. Step 5: Solve for x
    x = 13,579,438.52/4,296.60
  6. Step 6: Final answer
    x = 3,160.51

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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.