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Finding the Fourth Proportional to 4,955.72, 7,434.73 and 1,668.74

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Solution

The fourth proportional to 4,955.72, 7,434.73 and 1,668.74 is: 2,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,955.72 : 7,434.73 = 1,668.74 : x
  2. Step 2: Convert to fraction form
    4,955.72/7,434.73 = 1,668.74/x
  3. Step 3: Cross multiply
    4,955.72x = 7,434.73 × 1,668.74
  4. Step 4: Simplify right side
    4,955.72x = 12,406,589.99
  5. Step 5: Solve for x
    x = 12,406,589.99/4,955.72
  6. Step 6: Final answer
    x = 2,503.49

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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.