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Finding the Fourth Proportional to 5,207.84, 7,812.96 and 1,745

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Solution

The fourth proportional to 5,207.84, 7,812.96 and 1,745 is: 2,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.84 : 7,812.96 = 1,745 : x
  2. Step 2: Convert to fraction form
    5,207.84/7,812.96 = 1,745/x
  3. Step 3: Cross multiply
    5,207.84x = 7,812.96 × 1,745
  4. Step 4: Simplify right side
    5,207.84x = 13,633,615.20
  5. Step 5: Solve for x
    x = 13,633,615.20/5,207.84
  6. Step 6: Final answer
    x = 2,617.90

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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.