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Finding the Fourth Proportional to 5,582.55, 8,366.01 and 4,195

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Solution

The fourth proportional to 5,582.55, 8,366.01 and 4,195 is: 6,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.55 : 8,366.01 = 4,195 : x
  2. Step 2: Convert to fraction form
    5,582.55/8,366.01 = 4,195/x
  3. Step 3: Cross multiply
    5,582.55x = 8,366.01 × 4,195
  4. Step 4: Simplify right side
    5,582.55x = 35,095,390.98
  5. Step 5: Solve for x
    x = 35,095,390.98/5,582.55
  6. Step 6: Final answer
    x = 6,286.62

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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.