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Finding the Fourth Proportional to 4,868.44, 7,307 and 2,272.84

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Solution

The fourth proportional to 4,868.44, 7,307 and 2,272.84 is: 3,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.44 : 7,307 = 2,272.84 : x
  2. Step 2: Convert to fraction form
    4,868.44/7,307 = 2,272.84/x
  3. Step 3: Cross multiply
    4,868.44x = 7,307 × 2,272.84
  4. Step 4: Simplify right side
    4,868.44x = 16,607,641.88
  5. Step 5: Solve for x
    x = 16,607,641.88/4,868.44
  6. Step 6: Final answer
    x = 3,411.29

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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.