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Finding the Fourth Proportional to 5,158.84, 7,738.80 and 2,561.08

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Solution

The fourth proportional to 5,158.84, 7,738.80 and 2,561.08 is: 3,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.84 : 7,738.80 = 2,561.08 : x
  2. Step 2: Convert to fraction form
    5,158.84/7,738.80 = 2,561.08/x
  3. Step 3: Cross multiply
    5,158.84x = 7,738.80 × 2,561.08
  4. Step 4: Simplify right side
    5,158.84x = 19,819,685.90
  5. Step 5: Solve for x
    x = 19,819,685.90/5,158.84
  6. Step 6: Final answer
    x = 3,841.89

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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.