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Finding the Fourth Proportional to 5,307.68, 7,961.34 and 1,844.84

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Solution

The fourth proportional to 5,307.68, 7,961.34 and 1,844.84 is: 2,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.68 : 7,961.34 = 1,844.84 : x
  2. Step 2: Convert to fraction form
    5,307.68/7,961.34 = 1,844.84/x
  3. Step 3: Cross multiply
    5,307.68x = 7,961.34 × 1,844.84
  4. Step 4: Simplify right side
    5,307.68x = 14,687,398.49
  5. Step 5: Solve for x
    x = 14,687,398.49/5,307.68
  6. Step 6: Final answer
    x = 2,767.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.