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Finding the Fourth Proportional to 3,668.84, 5,503.17 and 1,071.80

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Solution

The fourth proportional to 3,668.84, 5,503.17 and 1,071.80 is: 1,607.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.84 : 5,503.17 = 1,071.80 : x
  2. Step 2: Convert to fraction form
    3,668.84/5,503.17 = 1,071.80/x
  3. Step 3: Cross multiply
    3,668.84x = 5,503.17 × 1,071.80
  4. Step 4: Simplify right side
    3,668.84x = 5,898,297.61
  5. Step 5: Solve for x
    x = 5,898,297.61/3,668.84
  6. Step 6: Final answer
    x = 1,607.67

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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.