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Finding the Fourth Proportional to 4,659.66, 6,989.40 and 2,195.64

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Solution

The fourth proportional to 4,659.66, 6,989.40 and 2,195.64 is: 3,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.66 : 6,989.40 = 2,195.64 : x
  2. Step 2: Convert to fraction form
    4,659.66/6,989.40 = 2,195.64/x
  3. Step 3: Cross multiply
    4,659.66x = 6,989.40 × 2,195.64
  4. Step 4: Simplify right side
    4,659.66x = 15,346,206.22
  5. Step 5: Solve for x
    x = 15,346,206.22/4,659.66
  6. Step 6: Final answer
    x = 3,293.42

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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.