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Finding the Fourth Proportional to 3,907.53, 5,390.79 and 2,228.61

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Solution

The fourth proportional to 3,907.53, 5,390.79 and 2,228.61 is: 3,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.53 : 5,390.79 = 2,228.61 : x
  2. Step 2: Convert to fraction form
    3,907.53/5,390.79 = 2,228.61/x
  3. Step 3: Cross multiply
    3,907.53x = 5,390.79 × 2,228.61
  4. Step 4: Simplify right side
    3,907.53x = 12,013,968.50
  5. Step 5: Solve for x
    x = 12,013,968.50/3,907.53
  6. Step 6: Final answer
    x = 3,074.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.