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Finding the Fourth Proportional to 3,457.84, 4,771.48 and 1,885.92

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Solution

The fourth proportional to 3,457.84, 4,771.48 and 1,885.92 is: 2,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.84 : 4,771.48 = 1,885.92 : x
  2. Step 2: Convert to fraction form
    3,457.84/4,771.48 = 1,885.92/x
  3. Step 3: Cross multiply
    3,457.84x = 4,771.48 × 1,885.92
  4. Step 4: Simplify right side
    3,457.84x = 8,998,629.56
  5. Step 5: Solve for x
    x = 8,998,629.56/3,457.84
  6. Step 6: Final answer
    x = 2,602.38

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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.