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Finding the Fourth Proportional to 5,272.19, 7,907.38 and 1,809.44

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Solution

The fourth proportional to 5,272.19, 7,907.38 and 1,809.44 is: 2,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.19 : 7,907.38 = 1,809.44 : x
  2. Step 2: Convert to fraction form
    5,272.19/7,907.38 = 1,809.44/x
  3. Step 3: Cross multiply
    5,272.19x = 7,907.38 × 1,809.44
  4. Step 4: Simplify right side
    5,272.19x = 14,307,929.67
  5. Step 5: Solve for x
    x = 14,307,929.67/5,272.19
  6. Step 6: Final answer
    x = 2,713.85

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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.