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Finding the Fourth Proportional to 4,668.05, 7,002.05 and 1,381.16

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Solution

The fourth proportional to 4,668.05, 7,002.05 and 1,381.16 is: 2,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.05 : 7,002.05 = 1,381.16 : x
  2. Step 2: Convert to fraction form
    4,668.05/7,002.05 = 1,381.16/x
  3. Step 3: Cross multiply
    4,668.05x = 7,002.05 × 1,381.16
  4. Step 4: Simplify right side
    4,668.05x = 9,670,909.46
  5. Step 5: Solve for x
    x = 9,670,909.46/4,668.05
  6. Step 6: Final answer
    x = 2,071.73

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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.