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Finding the Fourth Proportional to 3,645.41, 5,467.16 and 1,566.68

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Solution

The fourth proportional to 3,645.41, 5,467.16 and 1,566.68 is: 2,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.41 : 5,467.16 = 1,566.68 : x
  2. Step 2: Convert to fraction form
    3,645.41/5,467.16 = 1,566.68/x
  3. Step 3: Cross multiply
    3,645.41x = 5,467.16 × 1,566.68
  4. Step 4: Simplify right side
    3,645.41x = 8,565,266.81
  5. Step 5: Solve for x
    x = 8,565,266.81/3,645.41
  6. Step 6: Final answer
    x = 2,349.61

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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.