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Finding the Fourth Proportional to 4,789.33, 7,185.02 and 1,457.69

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Solution

The fourth proportional to 4,789.33, 7,185.02 and 1,457.69 is: 2,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.33 : 7,185.02 = 1,457.69 : x
  2. Step 2: Convert to fraction form
    4,789.33/7,185.02 = 1,457.69/x
  3. Step 3: Cross multiply
    4,789.33x = 7,185.02 × 1,457.69
  4. Step 4: Simplify right side
    4,789.33x = 10,473,488.59
  5. Step 5: Solve for x
    x = 10,473,488.59/4,789.33
  6. Step 6: Final answer
    x = 2,186.84

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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.