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Finding the Fourth Proportional to 3,613.41, 5,416.47 and 1,666.98

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Solution

The fourth proportional to 3,613.41, 5,416.47 and 1,666.98 is: 2,498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.41 : 5,416.47 = 1,666.98 : x
  2. Step 2: Convert to fraction form
    3,613.41/5,416.47 = 1,666.98/x
  3. Step 3: Cross multiply
    3,613.41x = 5,416.47 × 1,666.98
  4. Step 4: Simplify right side
    3,613.41x = 9,029,147.16
  5. Step 5: Solve for x
    x = 9,029,147.16/3,613.41
  6. Step 6: Final answer
    x = 2,498.79

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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.