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Finding the Fourth Proportional to 5,585.71, 8,380.05 and 1,690.24

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Solution

The fourth proportional to 5,585.71, 8,380.05 and 1,690.24 is: 2,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.71 : 8,380.05 = 1,690.24 : x
  2. Step 2: Convert to fraction form
    5,585.71/8,380.05 = 1,690.24/x
  3. Step 3: Cross multiply
    5,585.71x = 8,380.05 × 1,690.24
  4. Step 4: Simplify right side
    5,585.71x = 14,164,295.71
  5. Step 5: Solve for x
    x = 14,164,295.71/5,585.71
  6. Step 6: Final answer
    x = 2,535.81

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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.