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Finding the Fourth Proportional to 3,763.84, 5,194.96 and 2,504.95

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Solution

The fourth proportional to 3,763.84, 5,194.96 and 2,504.95 is: 3,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.84 : 5,194.96 = 2,504.95 : x
  2. Step 2: Convert to fraction form
    3,763.84/5,194.96 = 2,504.95/x
  3. Step 3: Cross multiply
    3,763.84x = 5,194.96 × 2,504.95
  4. Step 4: Simplify right side
    3,763.84x = 13,013,089.08
  5. Step 5: Solve for x
    x = 13,013,089.08/3,763.84
  6. Step 6: Final answer
    x = 3,457.40

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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.