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Finding the Fourth Proportional to 5,585.83, 7,707.87 and 3,228.73

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Solution

The fourth proportional to 5,585.83, 7,707.87 and 3,228.73 is: 4,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.83 : 7,707.87 = 3,228.73 : x
  2. Step 2: Convert to fraction form
    5,585.83/7,707.87 = 3,228.73/x
  3. Step 3: Cross multiply
    5,585.83x = 7,707.87 × 3,228.73
  4. Step 4: Simplify right side
    5,585.83x = 24,886,631.11
  5. Step 5: Solve for x
    x = 24,886,631.11/5,585.83
  6. Step 6: Final answer
    x = 4,455.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.