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Finding the Fourth Proportional to 3,668.25, 5,502.36 and 894.90

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Solution

The fourth proportional to 3,668.25, 5,502.36 and 894.90 is: 1,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.25 : 5,502.36 = 894.90 : x
  2. Step 2: Convert to fraction form
    3,668.25/5,502.36 = 894.90/x
  3. Step 3: Cross multiply
    3,668.25x = 5,502.36 × 894.90
  4. Step 4: Simplify right side
    3,668.25x = 4,924,061.96
  5. Step 5: Solve for x
    x = 4,924,061.96/3,668.25
  6. Step 6: Final answer
    x = 1,342.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.