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Finding the Fourth Proportional to 5,307.04, 7,959.12 and 1,843.84

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Solution

The fourth proportional to 5,307.04, 7,959.12 and 1,843.84 is: 2,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.04 : 7,959.12 = 1,843.84 : x
  2. Step 2: Convert to fraction form
    5,307.04/7,959.12 = 1,843.84/x
  3. Step 3: Cross multiply
    5,307.04x = 7,959.12 × 1,843.84
  4. Step 4: Simplify right side
    5,307.04x = 14,675,343.82
  5. Step 5: Solve for x
    x = 14,675,343.82/5,307.04
  6. Step 6: Final answer
    x = 2,765.26

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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.