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Finding the Fourth Proportional to 5,613.53, 8,420.27 and 1,665.09

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Solution

The fourth proportional to 5,613.53, 8,420.27 and 1,665.09 is: 2,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.53 : 8,420.27 = 1,665.09 : x
  2. Step 2: Convert to fraction form
    5,613.53/8,420.27 = 1,665.09/x
  3. Step 3: Cross multiply
    5,613.53x = 8,420.27 × 1,665.09
  4. Step 4: Simplify right side
    5,613.53x = 14,020,507.37
  5. Step 5: Solve for x
    x = 14,020,507.37/5,613.53
  6. Step 6: Final answer
    x = 2,497.63

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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.