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Finding the Fourth Proportional to 3,668.08, 5,502.19 and 894.76

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Solution

The fourth proportional to 3,668.08, 5,502.19 and 894.76 is: 1,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.08 : 5,502.19 = 894.76 : x
  2. Step 2: Convert to fraction form
    3,668.08/5,502.19 = 894.76/x
  3. Step 3: Cross multiply
    3,668.08x = 5,502.19 × 894.76
  4. Step 4: Simplify right side
    3,668.08x = 4,923,137.29
  5. Step 5: Solve for x
    x = 4,923,137.29/3,668.08
  6. Step 6: Final answer
    x = 1,342.16

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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.