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Finding the Fourth Proportional to 3,668.27, 5,502.33 and 894.95

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Solution

The fourth proportional to 3,668.27, 5,502.33 and 894.95 is: 1,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.27 : 5,502.33 = 894.95 : x
  2. Step 2: Convert to fraction form
    3,668.27/5,502.33 = 894.95/x
  3. Step 3: Cross multiply
    3,668.27x = 5,502.33 × 894.95
  4. Step 4: Simplify right side
    3,668.27x = 4,924,303.36
  5. Step 5: Solve for x
    x = 4,924,303.36/3,668.27
  6. Step 6: Final answer
    x = 1,342.40

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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.