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Finding the Fourth Proportional to 5,585.79, 7,708.46 and 3,228.69

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Solution

The fourth proportional to 5,585.79, 7,708.46 and 3,228.69 is: 4,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.79 : 7,708.46 = 3,228.69 : x
  2. Step 2: Convert to fraction form
    5,585.79/7,708.46 = 3,228.69/x
  3. Step 3: Cross multiply
    5,585.79x = 7,708.46 × 3,228.69
  4. Step 4: Simplify right side
    5,585.79x = 24,888,211.57
  5. Step 5: Solve for x
    x = 24,888,211.57/5,585.79
  6. Step 6: Final answer
    x = 4,455.63

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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.