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Finding the Fourth Proportional to 4,541, 6,806.64 and 1,907.85

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Solution

The fourth proportional to 4,541, 6,806.64 and 1,907.85 is: 2,859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541 : 6,806.64 = 1,907.85 : x
  2. Step 2: Convert to fraction form
    4,541/6,806.64 = 1,907.85/x
  3. Step 3: Cross multiply
    4,541x = 6,806.64 × 1,907.85
  4. Step 4: Simplify right side
    4,541x = 12,986,048.12
  5. Step 5: Solve for x
    x = 12,986,048.12/4,541
  6. Step 6: Final answer
    x = 2,859.73

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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.