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Finding the Fourth Proportional to 4,789.60, 7,184.40 and 1,502.94

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Solution

The fourth proportional to 4,789.60, 7,184.40 and 1,502.94 is: 2,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.60 : 7,184.40 = 1,502.94 : x
  2. Step 2: Convert to fraction form
    4,789.60/7,184.40 = 1,502.94/x
  3. Step 3: Cross multiply
    4,789.60x = 7,184.40 × 1,502.94
  4. Step 4: Simplify right side
    4,789.60x = 10,797,743.44
  5. Step 5: Solve for x
    x = 10,797,743.44/4,789.60
  6. Step 6: Final answer
    x = 2,254.42

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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.