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Finding the Fourth Proportional to 5,585.74, 8,379 and 1,690.44

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Solution

The fourth proportional to 5,585.74, 8,379 and 1,690.44 is: 2,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.74 : 8,379 = 1,690.44 : x
  2. Step 2: Convert to fraction form
    5,585.74/8,379 = 1,690.44/x
  3. Step 3: Cross multiply
    5,585.74x = 8,379 × 1,690.44
  4. Step 4: Simplify right side
    5,585.74x = 14,164,196.76
  5. Step 5: Solve for x
    x = 14,164,196.76/5,585.74
  6. Step 6: Final answer
    x = 2,535.78

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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.