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Finding the Fourth Proportional to 4,019, 5,544.72 and 2,505.88

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Solution

The fourth proportional to 4,019, 5,544.72 and 2,505.88 is: 3,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019 : 5,544.72 = 2,505.88 : x
  2. Step 2: Convert to fraction form
    4,019/5,544.72 = 2,505.88/x
  3. Step 3: Cross multiply
    4,019x = 5,544.72 × 2,505.88
  4. Step 4: Simplify right side
    4,019x = 13,894,402.95
  5. Step 5: Solve for x
    x = 13,894,402.95/4,019
  6. Step 6: Final answer
    x = 3,457.18

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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.