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Finding the Fourth Proportional to 4,659.33, 6,989.01 and 1,196.58

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Solution

The fourth proportional to 4,659.33, 6,989.01 and 1,196.58 is: 1,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.33 : 6,989.01 = 1,196.58 : x
  2. Step 2: Convert to fraction form
    4,659.33/6,989.01 = 1,196.58/x
  3. Step 3: Cross multiply
    4,659.33x = 6,989.01 × 1,196.58
  4. Step 4: Simplify right side
    4,659.33x = 8,362,909.59
  5. Step 5: Solve for x
    x = 8,362,909.59/4,659.33
  6. Step 6: Final answer
    x = 1,794.87

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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.