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Finding the Fourth Proportional to 3,457.69, 4,771.71 and 1,885.88

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Solution

The fourth proportional to 3,457.69, 4,771.71 and 1,885.88 is: 2,602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.69 : 4,771.71 = 1,885.88 : x
  2. Step 2: Convert to fraction form
    3,457.69/4,771.71 = 1,885.88/x
  3. Step 3: Cross multiply
    3,457.69x = 4,771.71 × 1,885.88
  4. Step 4: Simplify right side
    3,457.69x = 8,998,884.38
  5. Step 5: Solve for x
    x = 8,998,884.38/3,457.69
  6. Step 6: Final answer
    x = 2,602.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.