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Finding the Fourth Proportional to 4,269.67, 6,404.71 and 2,075.79

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Solution

The fourth proportional to 4,269.67, 6,404.71 and 2,075.79 is: 3,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.67 : 6,404.71 = 2,075.79 : x
  2. Step 2: Convert to fraction form
    4,269.67/6,404.71 = 2,075.79/x
  3. Step 3: Cross multiply
    4,269.67x = 6,404.71 × 2,075.79
  4. Step 4: Simplify right side
    4,269.67x = 13,294,832.97
  5. Step 5: Solve for x
    x = 13,294,832.97/4,269.67
  6. Step 6: Final answer
    x = 3,113.78

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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.