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Finding the Fourth Proportional to 4,602.56, 6,904.73 and 1,828.71

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Solution

The fourth proportional to 4,602.56, 6,904.73 and 1,828.71 is: 2,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.56 : 6,904.73 = 1,828.71 : x
  2. Step 2: Convert to fraction form
    4,602.56/6,904.73 = 1,828.71/x
  3. Step 3: Cross multiply
    4,602.56x = 6,904.73 × 1,828.71
  4. Step 4: Simplify right side
    4,602.56x = 12,626,753.37
  5. Step 5: Solve for x
    x = 12,626,753.37/4,602.56
  6. Step 6: Final answer
    x = 2,743.42

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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.